|
1980
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On the symmetric and Rees algebra of an ideal generated by a
d-sequence, J. Algebra 62 (1980), 268-275.
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1981
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The perfection of Buchsbaum-Eisenbud varieties and generic modules of
projective dimension two, Trans. Amer. Math. Soc. 265 (1981),
211-233.
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On the symmetric algebra of a module, J. Algebra 69 (1981),
113-119.
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Powers of Ideals generated by weak d-sequences, J. Algebra
68 (1981), 471-509.
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Symbolic powers of prime ideals and special graded algebras, Comm. in
Algebra 9(4) (1981), 339-366.
|
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A characterization of locally Cohen-Macaulay completions, Pac. Jour. of Math.
94 (1981), 131-138.
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Almost complete intersections and factorial rings, Jour. of Algebra
71 (1981), 179-188.
|
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1982
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The theory of d-sequences and powers of ideals,
Advances in Mathematics 46 (1982), 249-279.
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On the associated graded algebra of an ideal, Illinois Jour. of Math.
26 (1982), 121-137.
|
|
|
Symbolic powers of primes and weak d-sequences, Proc. of the
Algebra Conf., George Mason University, 1979, Marcel Dekker
68 (1982), 173-200.
|
|
|
Linkage and the symmetric algebra of ideals, A.M.S., Proc. of the
Jacobson Conf., eds. S. Amitsur, D. Saltman, and G. Seligman,
Contemporary Mathematics 13 (1982), 229-236.
|
|
|
On the finite generation of symbolic blow-ups,
Math. Zeitschrift 179(1982), 465-472.
|
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|
Graded rings associated to an ideal,
Conf. on Commutative Algebra, Katata, Japan, ed. by H. Matsumura,
Proceedings of the Ninth Taniguichi Symposium (1982). 15-19.
|
|
|
A remark concerning multiplicities, Proc. Amer. Math. Soc.
85 (1982), 331-332.
|
|
|
On the normality of Schubert varieties (with V. Lakshmibai),
Proc. Indian Acad. Sc.
91 (1982), 65-71.
|
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|
Linkage and the Koszul homology of ideals, Amer. J. Math.
104 (1982), 1043-1062.
|
|
1983
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|
|
Cohen-Macaulay Rees algebras and their specialization (with
D. Eisenbud), Journal of Algebra 81 (1983), 202-224.
|
|
|
Strongly Cohen-Macaulay schemes and residual intersections,
Trans. Amer. Math. Soc. 277(2) (1983), 739-763.
|
|
|
Invariants of liaison,
Proceedings of the Third Midwest Algebraic Geometry Conference,
ed. by I. Dolgachev, Ann Arbor, Springer-Verlag Lecture Notes in Math.
1008 (1983), 65-74.
|
|
1984
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|
|
Numerical invariants of liaison classes, Inventiones Math.
75 (1984), 301-325.
|
|
1985
|
|
|
The Koszul homology of an ideal, Advances Math.
56 (1985), 295-318.
|
|
|
Deformations and divisor class groups (with B. Ulrich), Amer. J. Math.
107 (1985), 1265-1303.
|
|
|
A characterization of Kempf varieties by means of standard monomials and
the geometric consequences (with V. Lakshimibai), J. Algebra
94 (1985), 52-105.
|
|
|
Complete local domains of type two are Cohen-Macaulay (with D. Costa
and M. Miller), Bulletin London Math. Soc.
17 (1985), 29-31.
|
|
|
Criteria for complete intersections, J. London Math. Soc.
32 (1985), 19-30.
|
|
|
A note on the multiplicity of Cohen-Macaulay algebras with pure
resolution (with M. Miller), Canadian J. Math.
37 (1985), 1149-1162.
|
|
|
A criterion for intersection multiplicity one (with R. Achilles and
W. Vogel), Nagoya Math. J.
100 (1985), 49-63.
|
|
1986
|
|
|
Dimension and components of symmetric algebras (with M. Rossi),
J. Algebra
98 (1986), 200-210.
|
|
|
Liaison of monomial curves in P3 (with H. Bresinsky),
J. fur die reine und Angewandte Math.
365 (1986), 33-66.
|
|
|
Some dimension three cases of the canonical element conjecture (with J. Koh),
Proc. Amer. Math. Soc.
98 (1986), 394-398.
|
|
|
A criterion for spots (with W. Heinzer and J. Sally),
Kyoto J. Math.
26 (1986), 667-671.
|
|
|
Determinantal ideals of linear type,
Archiv. der Math.
47 (1986), 324-329.
|
|
|
Integral closures and primary components of ideals in three dimensional
regular local rings,
Math. Annalen
275 (1986), 617-635.
|
|
|
Unmixed ideals in 3-dimensional regular local rings,
Atas da 9a Escola de Algebra,
(1986), 5-24.
|
|
1987
|
|
|
The structure of linkage (with B. Ulrich),
Annals of Math.,
126 (1987), 277-334.
|
|
|
Hilbert functions and symbolic powers,
Michigan J. Math.
34 (1987), 293-318.
|
|
1988
|
|
|
Birational extensions in dimension two and integrally closed ideals (with
J. Sally),
J. Algebra
115 (1988), 481-500.
|
|
|
Minimal linkage and the Gorenstein locus of an ideal (with B. Ulrich),
Nagoya J. Math.
109 (1988), 159-167.
|
|
|
Algebraic linkage (with B. Ulrich),
Duke Journal of Mathematics
56 (1988), 415-430.
|
|
|
Tight closures of ideals (with M. Hochster),
Bulletin Amer. Math. Soc.
18 (1988), 45-48.
|
|
|
Residual intersections (with B. Ulrich),
J. fur die reine und Angewandte Math.
390 (1988), 1-20.
|
|
1989
|
|
|
Reduced normal cones are domains (with A. Simis and W. Vasconcelos)
Contemporary Mathematics
88 (1989), 95-102.
|
|
|
Complete ideals in two dimensional regular local rings,
Commutative Algebra, Math. Sci. Research Inst. Publ.,
15 (1989), 325-338.
|
|
|
Powers of Licci ideals (with B. Ulrich),
Commutative Algebra, Math. Sci. Research Inst. Publ.,
15 (1989), 339-346.
|
|
|
Tight closure (with M. Hochster),
Commutative Algebra, Math. Sci. Research Inst. Publ.,
15 (1989), 305-324.
|
|
|
Tight closure and strong $F$-regularity (with M. Hochster),
M\'emoire de la Societ\'e Math\'ematique de France,
38 (1989), 119-133.
|
|
1990
|
|
|
Tight closure, invariant theory, and the Brian\c con-Skoda theorem (with
M. Hochster),
J. Amer. Math. Soc.,
3 (1990), 31-116.
|
|
|
Zeros of differentials along one-fibered ideals (with R. Fedder and
R. H\"ubl), Proc. Amer. Math. Soc.,
108 (1990), 319-326.
|
|
|
On the vanishing of local cohomology modules (with G. Lyubeznik),
Inventiones Math.,
102 (1990), 73-93.
|
|
|
Generic residual intersections (with B. Ulrich), Commutative Algebra Proceedings: Salvador, Lecture Notes in Mathematics,
1430 (1990), 47-60.
|
|
|
Ideals with a regular sequence as syzygy, in Appendix to: A Beauville, Sur l
es hypersurfaces dont les section hyperplane sont
\`a modulo censtant \inbook Grothendieck Festschrift I (with D. Eisenbud)
(1990), 121-132.
|
|
1991
|
|
|
Tight closure and elements of small order in integral extensions (with
M. Hochster), J. Pure Applied Algebra,
71 (1991), 233-248.
|
|
|
Cofiniteness and vanishing of local cohomology modules (with J. Koh),
Math. Proc. Camb. Phil. Soc.,
110 (1991), 421-429.
|
|
|
Absolute integral closures are big Cohen-Macaulay algebras in
characteristic $p$ (with M. Hochster),
Bull. Amer. Math. Soc.,
24 (1991), 137-143.
|
|
|
Absolute integral closure and big Cohen-Macaulay algebras,
Proc. of the International Congress of Math., Kyoto, 1990, Vol I,
Math. Soc. of Japan,
(1991), 339-349.
|
|
1992
|
|
|
Almost complete intersections (with J. Koh), J. Algebra,
145 (1992), 22-31.
|
|
|
Powers of ideals having small analytic deviation (with S. Huckaba)
Amer. J. Math.,
114 (1992), 367-403.
|
|
|
Infinite integral extensions and big Cohen-Macaulay algebras (with
M. Hochster), Annals Math.,
135 (1992), 53-89.
|
|
|
On the structure of certain normal ideals (with B. Ulrich and
W. Vasconcelos), Compositio Math.,
84 (1992), 25-42.
|
|
|
Direct methods for primary decomposition (with D. Eisenbud and
W. Vasconcelos), Inventiones Math.,
110 (1992), 207-236.
|
|
|
Local properties of Licci ideals (with B. Ulrich),
Math. Z.,
211 (1992), 129-154.
|
|
|
Uniform bounds in noetherian rings, Inventiones Math.,
107 (1992), 203-223.
|
|
|
Problems in local cohomology, Free Resolutions in Commutative
Algebra and Algebraic Geometry Sundance 90, Res. Notes in Math.,
Jones and Barlett,
2 (1992), 93-108.
|
|
|
Degeneracy of Schubert varieties (with V. Lakshimibai),
Contemporary Math.,
139 (1992), 181-235.
|
|
1993
|
|
|
Rees algebras of ideals having small analytic deviation (with S. Huckaba)
Trans. Amer. Math. Soc.,
339 (1993), 373-402.
|
|
|
Bass numbers of local cohomology modules (with R. Sharp)
Trans. Amer. Math. Soc.,
339 (1993), 765-779.
|
|
|
Phantom homology (with M. Hochster), Memoirs Amer. Math. Soc.,
490 (1993).
|
|
|
Localization of tight closure and modules of finite phantom projective
dimension (with I.Aberbach and M. Hochster),
J. reine u. Angew. Math.,
434 (1993), 67-114.
|
|
|
Hyperplane sections of algebraic varieties (with B. Ulrich)
Journal of Algebraic Geometry
l2 (1993), 487-505.
|
|
|
An improved Brian\c con-Skoda theorem with applications to the
Cohen-Macaulayness of Rees algebras (with I. Aberbach)
Math. Annalen,
297 (1993), 343-370.
|
|
1994
|
|
|
A quick proof of the Hartshorne-Lichtenbaum vanishing theorem (with
M. Brodmann), Algebraic Geometry and Its Applications, Springer-Verlag, New York-Berlin, (1994), 305-308
|
|
|
Tight closure of parameter ideals and splitting in module finite
extensions (with M. Hochster),
Journal of Algebraic Geometry,
3 (1994), 599-670.
|
|
|
Canonical modules and connectedness (with M. Hochster),
Contemporary Math.
159 (1994), 197-208.
|
|
|
Torsion in tensor products and the rigidity of Tor (with R. Wiegand)
Math. Annalen,
299 (1994), 449-476.
|
|
|
F-regularity and smooth base change (with M. Hochster),
Trans. Amer. Math. Soc.
346 (1994), 1-60.
|
|
1995
|
|
|
Reduction numbers, Rees rings, and Pfaffian ideals (with I. Aberbach
and S. Huckaba),
J. Pure Applied Algebra
102 (1995), 1--16.
|
|
|
Core of ideals in two-dimensional regular local rings (with I. Swanson),
Michigan J. Math.
42 (1995), 193--208.
|
|
|
Reduction numbers, Brian\c con-Skoda theorems and the depth of Rees algebras
(with I. Aberbach and N.V. Trung),
Compositio Math.
97 (1995), 403--434.
|
|
|
Applications of the existence of big Cohen-Macaulay
algebras (with M. Hochster)
Advances Math.
113 (1995), 45--117.
|
|
|
Residual intersections and the number of equations defining projective varie
ties (with H. Martin), Communications Alg.
23 (1995), 2345--2376.
|
|
|
On reduction exponents of ideals with Gorenstein formring (with M. Herrmann
and J. Ribbe), Proc. Edinburgh Math. Soc.
38 (1995), 449--463.
|
|
1996
|
|
|
A theorem of Brian\c con-Skoda type for regular local rings
containing a field (with I. Aberbach), Proc. Amer. Math. Soc.
124 (1996), 707--714.
|
|
|
A tight closure approach to arithmetic Macaulayfication (with I. Aberbach
and K. Smith)
Illinois J. Math.
40 (1996), 310--329.
|
|
|
On the structure of Gorenstein ideals of deviation two (with B.
Ulrich and W. Vasconcelos), Results in Math.
29 (1996), 90--99.
|
|
1997
|
|
|
Gaussian polynomials and content ideals (with W. Heinzer),
Proc. Amer. Math. Soc.
125 (1997), 739--746.
|
|
|
Tight closure and the Kodaira vanishing theorem (with K. Smith),
J. fur die reine und Angewandte Math.
484 (1997), 127--152.
|
|
|
The height of ideals and regular sequences (with V. Trivedi),
manu. math.
93 (1997), 137--142.
|
|
|
Tight closure and strong test ideals,
Jour. Pure Applied Algebra
122 (1997), 243--250.
|
|
|
Tensor products of modules, rigidity, and local cohomology (with R. Wiegand),
Math. Scand.
81 (1997), 161--183.
|
|
1998
|
|
|
Integral closures of ideals (with A. Corso and W. Vasconcelos),
manu. math.
95 (1998), 331--348.
|
|
|
The Dedekind-Mertens lemma and the content of polynomials (with W. Heinzer),
Proc. Amer. Math. Soc.
126 (1998), 1305--1310.
|
|
|
Symbolic squares in regular local rings (with J. Ribbe),
Math. Z.
229 (1998), 31--44.
|
|
|
A generalized Dedekind-Mertens lemma and its converse (with A. Corso and W. Heinzer), Transactions Amer. Math. Soc.
350 (1998), 5095-5109.
|
|
1999
|
|
Normal ideals in regular rings (with Sam Huckaba), J. reine angew. Math. 510 (1999) 63--82.
|
|
Hyman Bass and Ubiquity: Gorenstein Rings, Contemporary Math. 243 (1999) 55--78.
|
|
2000
|
|
A cancellation theorem for ideals, J. Pure Applied Alg. 152 (2000) 123--132.
|
|
Desingularizations and the uniform Artin-Rees theorem, J. London. Math. Soc. 62 (2000) 740--756.
|
|
Test exponents and localization for tight closure (with M. Hochster), Mich. Math. J. 48 (2000) 305--330.
|
|
The saturation of Frobenius powers of ideals, Comm. Alg. 28 (2000) 5563--5572.
|
|
Introduction to the collected papers of Joseph Lipman, Queen's
Papers in Pure and Applied Mathematics, 117 (2000) 1--12.
|
|
2001
|
|
Vanishing theorems for complete intersections (with D. Jorgensen and R. Wiegand), J. Alg. 238 (2001) 684--702.
|
|
Fiber cones and the integral closure of ideals (with R. H\"ubl),
Collect. Math. 52 (2001) 85--100.
|
|
F-rational rings and the integral closure of ideals II (with I. Aberbach),
in `Ideal Theorectic Methods in Commutative Algebra', edited by
D. Anderson and I. Papick, (2001) 1--12, Marcel Dekker, New York.
|
|
F-rational rings and the integral closure of ideals (with I. Aberbach),
Mich. J. Math. 49 (2001) 3--11.
|
|
A simple proof of some generalized principal ideal theorems (with D. Eisenbud and B. Ulrich),
Proc. Amer. Math. Soc. 129 (2001) 2535--2540.
|
|
2002
|
|
Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular (with Y. Yao),
Proc. Amer. Math. Soc. 130 (2002) 661--665.
|
|
Comparison of symbolic and ordinary powers of ideals (with M. Hochster),
Invent. Math. 147 (2002) 349--369.
|
|
Two theorems about maximal Cohen-Macaulay modules (with G. Leuschke),
Math. Annalen 324 (2002) 391--404.
|
|
The Tor game (with R. Wiegand), Commutative Ring Theory and Applications
by Marco Fontana, Salah-Eddine Kabbaj, and Sylvia Wiegand
Lecture Notes in Pure and Applied Mathematics, 231, (2002),
289--300.
|
|
2003
|
|
What is the Rees algebra of a module? (with D. Eisenbud and B. Ulrich),
Proc. Amer. Math. Soc. 131 (2003) 701--708.
|
|
Special tight closure (with A. Vraciu),
Nagoya Math. J. 170 (2003) 175--183.
|
|
Local rings of countable Cohen-Macaulay type (with G. Leuschke),
Proc. Amer. Math. Soc. 131 (2003) 3003--3007.
|
|
Symmetry in the vanishing of Ext over Gorenstein rings (with D. Jorgensen),
Math. Scand. 93 (2003) 161--184.
|
|
2004
|
|
Vanishing of Ext and Tor over some Cohen-Macaulay local rings (with L. Sega and A. Vraciu),
Illinois J. Math. 48 (2004) 295--317.
|
|
Heights of ideals of minors (with D. Eisenbud and B. Ulrich) Amer. J. Math.
126 (2004), 417--438.
|
|
On a conjecture of Auslander and Reiten (with Graham Leuschke) J. Algebra
275 (2004), 781--790.
|
|
Hilbert-Kunz functions for normal rings (with M. McDermott and P. Monsky) Math. Res. Letters
11 (2004), 539--546.
|
|
Order ideals and a generalized Krull height theorem (with D. Eisenbud and B. Ulrich) Math. Annalen
330 (2004), 417--439.
|
|
2005
|
|
On the core of ideals (with N.V. Trung)
Compositio Math. 141 (2005) 1--18.
|
|
Fitting ideals and finite projective dimension (with D. Jorgensen and D. Katz)
Math. Proc. Camb. Phil. Soc. 138 (2005) 41--54.
|
|
Some criteria for the Gorenstein property (with D. Hanes)
J.Pure Applied Alg. 201 (2005) 4--16.
|
|
Approximations of infinite resolutions (with David Eisenbud)
J.Pure Applied Alg. 201 (2005) 284-294.
|
|
2006
|
|
Integral closure of ideals and annihilators of homology ((with A. Corso,
D. Katz, and W. Vasconcelos)
Lect. Notes Pure Appl. Math., Chapman and Hall/CRC,
244 (2006) 33--48.
|
|
Regularity of Tor and graded Betti numbers (with D. Eisenbud and B. Ulrich)
Amer. J. Math. 128 (2006) 573-605.
|
|
Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay
rings (with M. Katzman, R. Sharp, and Y. Yao)
J. Alg. 305 (2006) 516-539.
|
|
Rings that are almost Gorenstein (with A. Vraciu)
Pacific J. Math. 225 (2006) 85-102.
|
|
2007
|
|
Absolute integral closure in positive characteristic (with G. Lyubeznik),
Advances Math.
210 (2007) 498--504.
|
|
Ideals defining Gorenstein rings are (almost) never products,
Proc. Amer. Math. Soc.
135 (2007) 2003--2005.
|
|
Liaison of monomial ideals (with B. Ulrich),
Bulletin London Math. Soc.
39 (2007) 384--392.
|
|
Correction to `Tensor products of modules and the rigidity of Tor' (with R. Wiegand),
Math. Annalen
338 (2007) 291--293.
|
|
Lectures on local cohomology (with an appendix by Amelia Taylor),
Cont. Math.
436 (2007) 51--100.
|
|
Fine behavior of symbolic powers of ideals (with M. Hochster),
Illinois J. Math.
51 (2007) 171--183.
|
|
Minimal homogeneous liaison and licci ideals (with J. Migliore, U. Nagel, and B. Ulrich),
Cont. Math.
448 (2007) 129--139.
|
|
2008
|
|
F-thresholds with applications to integral dependence and multiplicity
(with M. Mustata, S. Takagi, and K.I. Watanabe), Michigan Math. J.
57 (2008) 463--483.
|
|
Mathematical biography of Melvin Hochster, Michigan Math. J.
57 (2008) (v)--(ix).
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[1]
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An algebraist commuting in Berkeley, Math. Intelligencer 11(1)
(1989), 40-52.
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Commutative Algebra, edited with M. Hochster, J. Sally,
Math. Sci. Research Inst. Publications 15 (1989), Springer-Verlag,
New York.
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Free Resolutions in Commutative Algebra and Algebraic Geometry,
Sundance 90, edited with D. Eisenbud, Research Notes in Mathematics
2 (1992), Jones and Bartlett Publishers, Boston, London.
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Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra,
Contemporary Math. edited with William Heinzer and Judith Sally,
159 (1994), American Mathematical Society, Providence.
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Trends in Commutative Algebra, edited with L. Avramov, M. Green,
K.E. Smith, and B. Sturmfels,
Math. Sci. Research Inst. Publications 51 (2004), Cambridge University Press.
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Tight Closure and its Applications, CBMS Lecture Notes 88
(1996), American Mathematical Society, Providence.
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Integral Closure of Ideals, Rings, and Modules (with I. Swanson), London Math. Soc. Lecture Note Series 336
(2006), Cambridge University Press.
|
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