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1

The Number of Defining Equations of Affine Algebraic Sets

Gennady Lyubeznik

Journal:

American Journal of Mathematics

Year:

1992

Language:

english

File:

PDF, 4.61 MB

english, 1992

2

Etale Cohomological Dimension and the Topology of Algebraic Varieties

Gennady Lyubeznik

Journal:

Annals of Mathematics

Year:

1993

Language:

english

File:

PDF, 3.83 MB

english, 1993

3

Finiteness properties of local cohomology modules (an application ofD-modules to commutative algebra)

Gennady Lyubeznik

Journal:

Inventiones mathematicae

Year:

1993

Language:

english

File:

PDF, 931 KB

english, 1993

4

Strong and Weak F-Regularity Are Equivalent for Graded Rings

Gennady Lyubeznik and Karen E. Smith

Journal:

American Journal of Mathematics

Year:

1999

Language:

english

File:

PDF, 1.17 MB

english, 1999

5

On set-theoretic intersections

Gennady Lyubeznik

Journal:

Journal of Algebra

Year:

1984

Language:

english

File:

PDF, 395 KB

english, 1984

6

On the arithmetical rank of monomial ideals

Gennady Lyubeznik

Journal:

Journal of Algebra

Year:

1988

Language:

english

File:

PDF, 207 KB

english, 1988

7

On some local cohomology modules

Gennady Lyubeznik

Journal:

Advances in Mathematics

Year:

2007

Language:

english

File:

PDF, 278 KB

english, 2007

8

On the discreteness and rationality of F-jumping coefficients

Mordechai Katzman, Gennady Lyubeznik, Wenliang Zhang

Journal:

Journal of Algebra

Year:

2009

Language:

english

File:

PDF, 158 KB

english, 2009

9

A generalization of Lichtenbaum's theorem on the cohomological dimension of algebraic varieties

Gennady Lyubeznik

Journal:

Mathematische Zeitschrift

Year:

1991

Language:

english

File:

PDF, 203 KB

english, 1991

10

Absolute integral closure in positive characteristic

Craig Huneke, Gennady Lyubeznik

Journal:

Advances in Mathematics

Year:

2007

Language:

english

File:

PDF, 124 KB

english, 2007

11

An equation in abelian groups and multiple lattice tilings ofn-dimensional space

Gennady Lyubeznik

Journal:

Archiv der Mathematik

Year:

1982

Language:

english

File:

PDF, 422 KB

english, 1982

12

Strong and weak F -regularity are equivalent for graded rings

Lyubeznik, Gennady, Smith, Karen E.

Journal:

American Journal of Mathematics

Year:

1999

Language:

english

File:

PDF, 309 KB

english, 1999

13

Local cohomology modules of a smooth(mathbb{Z})-algebra have finitely many associated primes

Bhatt, Bhargav, Blickle, Manuel, Lyubeznik, Gennady, Singh, Anurag K., Zhang, Wenliang

Journal:

Inventiones mathematicae

Year:

2014

Language:

english

File:

PDF, 475 KB

english, 2014

14

On the Commutation of the Test Ideal with Localization and Completion

Gennady Lyubeznik and Karen E. Smith

Journal:

Transactions of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 4.15 MB

english, 2001

15

Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: the unramified case

Lyubeznik, Gennady

Journal:

Communications in Algebra

Year:

2000

Language:

english

File:

PDF, 707 KB

english, 2000

16

F-modules: applications to local cohomology and D-modules in characteristic p>0.

Lyubeznik, Gennady

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

1997

Language:

english

File:

PDF, 9.32 MB

english, 1997

17

On the vanishing of local cohomology in characteristic p > 0

Lyubeznik, Gennady

Journal:

Compositio Mathematica

Year:

2006

Language:

english

File:

PDF, 270 KB

english, 2006

18

Stabilization of the cohomology of thickenings

Bhatt, Bhargav, Blickle, Manuel, Lyubeznik, Gennady, Singh, Anurag K., Zhang, Wenliang

Journal:

American Journal of Mathematics

Year:

2019

Language:

english

File:

PDF, 473 KB

english, 2019

19

The minimal non-Cohen-Macaulay monomial ideals

Gennady Lyubeznik

Journal:

Journal of Pure and Applied Algebra

Year:

1988

Language:

english

File:

PDF, 375 KB

english, 1988

20

A new explicit finite free resolution of ideals generated by monomials in an R-sequence

Gennady Lyubeznik

Journal:

Journal of Pure and Applied Algebra

Year:

1988

Language:

english

File:

PDF, 183 KB

english, 1988

21

A characteristic-free proof of a basic result on -modules

Gennady Lyubeznik

Journal:

Journal of Pure and Applied Algebra

Year:

2011

Language:

english

File:

PDF, 220 KB

english, 2011

22

Injective dimension of D-modules: a characteristic-free approach

Gennady Lyubeznik

Journal:

Journal of Pure and Applied Algebra

Year:

2000

Language:

english

File:

PDF, 95 KB

english, 2000

23

Finiteness properties of local cohomology modules: a characteristic-free approach

Gennady Lyubeznik

Journal:

Journal of Pure and Applied Algebra

Year:

2000

Language:

english

File:

PDF, 89 KB

english, 2000

24

On some local cohomology invariants of local rings

Gennady Lyubeznik

Journal:

Mathematische Zeitschrift

Year:

2006

Language:

english

File:

PDF, 229 KB

english, 2006

25

On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel

Razaviyayn, Meisam, Lyubeznik, Gennady, Luo, Zhi-Quan

Journal:

IEEE Transactions on Signal Processing

Year:

2012

Language:

english

File:

PDF, 558 KB

english, 2012

26

An upper bound on the number of $F$-jumping coefficients of a principal ideal

Katzman, Mordechai, Lyubeznik, Gennady, Zhang, Wenliang

Journal:

Proceedings of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 143 KB

english, 2011

27

[IEEE 2011 IEEE 12th Workshop on Signal Processing Advances in Wireless Communications (SPAWC 2011) - San Francisco, CA, USA (2011.06.26-2011.06.29)] 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications - On the degrees of freedom achievable through interference alignment in a MIMO interference channel

Razaviyayn, Meisam, Lyubeznik, Gennady, Luo, Zhi-Quan

Year:

2011

Language:

english

File:

PDF, 258 KB

english, 2011

28

The Number of Generators of Modules over Polynomial Rings

Gennady Lyubeznik

Journal:

Proceedings of the American Mathematical Society

Year:

1988

Language:

english

File:

PDF, 159 KB

english, 1988

29

Set-Theoretic Complete Intersections in Characteristic p

Margherita Barile and Gennady Lyubeznik

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 289 KB

english, 2005

30

Some Algebraic Sets of High Local Cohomological Dimension in Projective Space

Gennady Lyubeznik

Journal:

Proceedings of the American Mathematical Society

Year:

1985

Language:

english

File:

PDF, 119 KB

english, 1985

31

A Property of Ideals in Polynomial Rings

Gennady Lyubeznik

Journal:

Proceedings of the American Mathematical Society

Year:

1986

Language:

english

File:

PDF, 123 KB

english, 1986

32

10.1090/s0002-9939-05-07951-7

Barile, Margherita, Lyubeznik, Gennady

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 182 KB

english, 2005

33

Some algebraic sets of high local cohomological dimension in projective space

Lyubeznik, Gennady

Journal:

Proceedings of the American Mathematical Society

Year:

1985

Language:

english

File:

PDF, 190 KB

english, 1985

34

A property of ideals in polynomial rings

Lyubeznik, Gennady

Journal:

Proceedings of the American Mathematical Society

Year:

1986

Language:

english

File:

PDF, 220 KB

english, 1986

35

An extension of a theorem of Hartshorne

Katzman, Mordechai, Lyubeznik, Gennady, Zhang, Wenliang

Journal:

Proceedings of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 185 KB

english, 2015

36

Local cohomology modules supported at determinantal ideals

Lyubeznik, Gennady, Singh, Anurag, Walther, Uli

Journal:

Journal of the European Mathematical Society

Year:

2016

Language:

english

File:

PDF, 249 KB

english, 2016

37

Stabilization of the cohomology of thickenings

Bhatt, Bhargav, Blickle, Manuel, Lyubeznik, Gennady, Singh, Anurag K., Zhang, Wenliang

Journal:

American Journal of Mathematics

Year:

2019

File:

PDF, 473 KB

2019

38

-modules

Lyubeznik, Gennady

Journal:

Journal of Algebra

Year:

2018

Language:

english

File:

PDF, 437 KB

english, 2018

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