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Author ID: lyubeznik.gennady Recent zbMATH articles by "Lyubeznik, Gennady"
Published as: Lyubeznik, Gennady; Lyubeznik, G.

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 782 times in 497 Documents Cited by Year
Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra). Zbl 0795.13004
Lyubeznik, Gennady
151
1993
\(F\)-modules: Applications to local cohomology and \(D\)-modules in characteristic \(p>0\). Zbl 0904.13003
Lyubeznik, Gennady
97
1997
On the vanishing of local cohomology modules. Zbl 0717.13011
Huneke, Craig; Lyubeznik, G.
60
1990
On the commutation of the test ideal with localization and completion. Zbl 0977.13002
Lyubeznik, Gennady; Smith, Karen E.
50
2001
Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: The unramified case. Zbl 0981.13008
Lyubeznik, Gennady
35
2000
On the arithmetical rank of monomial ideals. Zbl 0639.13015
Lyubeznik, Gennady
30
1988
Strong and weak F-regularity are equivalent for graded rings. Zbl 0970.13003
Lyubeznik, Gennady; Smith, Karen E.
30
1999
A new explicit finite free resolution of ideals generated by monomials in an R-sequence. Zbl 0652.13012
Lyubeznik, Gennady
27
1988
On the vanishing of local cohomology in characteristic \(p>0\). Zbl 1100.13022
Lyubeznik, Gennady
22
2006
A simple proof of Grothendieck’s theorem on the parafactoriality of local rings. Zbl 0813.13017
Call, Frederick; Lyubeznik, Gennady
18
1994
Generators of \(D\)-modules in positive characteristic. Zbl 1115.13032
Alvarez-Montaner, Josep; Blickle, Manuel; Lyubeznik, Gennady
18
2005
Absolute integral closure in positive characteristic. Zbl 1109.13003
Huneke, Craig; Lyubeznik, Gennady
17
2007
A partial survey of local cohomology. Zbl 1061.14005
Lyubeznik, Gennady
17
2002
Finiteness properties of local cohomology modules: A characteristic-free approach. Zbl 0964.13010
Lyubeznik, Gennady
16
2000
On the discreteness and rationality of \(F\)-jumping coefficients. Zbl 1186.13003
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
15
2009
Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes. Zbl 1318.13025
Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang
14
2014
On some local cohomology invariants of local rings. Zbl 1105.13019
Lyubeznik, Gennady
14
2006
Local cohomology modules supported at determinantal ideals. Zbl 1408.13047
Lyubeznik, Gennady; Singh, Anurag K.; Walther, Uli
13
2016
The number of defining equations of affine algebraic sets. Zbl 0770.14021
Lyubeznik, Gennady
12
1992
On some local cohomology modules. Zbl 1121.13016
Lyubeznik, Gennady
11
2007
The minimal non-Cohen-Macaulay monomial ideals. Zbl 0655.13020
Lyubeznik, Gennady
10
1988
Set-theoretic complete intersections in characteristic \(p\). Zbl 1077.14064
Barile, Margherita; Lyubeznik, Gennady
9
2005
Injective dimension of \(D\)-modules: A characteristic-free approach. Zbl 0989.13010
Lyubeznik, Gennady
9
2000
Rings with a local cohomology theorem and applications to cohomology rings of groups. Zbl 0965.13012
Greenlees, J. P. C.; Lyubeznik, G.
9
2000
Etale cohomological dimension and the topology of algebraic varieties. Zbl 0811.14014
Lyubeznik, Gennady
8
1993
Some algebraic sets of high local cohomological dimension in projective space. Zbl 0587.14002
Lyubeznik, Gennady
8
1985
A characteristic-free proof of a basic result on \(\mathcal D\)-modules. Zbl 1211.13016
Lyubeznik, Gennady
7
2011
On set-theoretic intersections. Zbl 0575.14041
Lyubeznik, Gennady
7
1984
A survey of problems and results on the number of defining equations. Zbl 0753.14001
Lyubeznik, Gennady
6
1989
On the local cohomology modules \(H^ i_{{\mathfrak a}}(R)\) for ideals \({\mathfrak a}\) generated by monomials in an R-sequence. Zbl 0578.13012
Lyubeznik, Gennady
6
1984
An extension of a theorem of Hartshorne. Zbl 1419.13032
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
6
2016
A property of ideals in polynomial rings. Zbl 0612.13008
Lyubeznik, Gennady
5
1986
On Bernstein-Sato polynomials. Zbl 0878.13018
Lyubeznik, Gennady
4
1997
Stabilization of the cohomology of thickenings. Zbl 1425.13008
Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang
4
2019
A property of the Frobenius map of a polynomial ring. Zbl 1239.13009
Lyubeznik, Gennady; Zhang, Wenliang; Zhang, Yi
3
2011
A generalization of Lichtenbaum’s theorem on the cohomological dimension of algebraic varieties. Zbl 0724.14010
Lyubeznik, Gennady
3
1991
The number of generators of modules over polynomial rings. Zbl 0667.13006
Lyubeznik, Gennady
3
1988
Minimal resultant systems. Zbl 0856.13004
Lyubeznik, Gennady
2
1995
An upper bound on the number of \(F\)-jumping coefficients of a principal ideal. Zbl 1230.13007
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
2
2011
The number of equations needed to define an algebraic set. Zbl 0678.14012
Lyubeznik, Gennady
2
1988
Local cohomology and its applications. Selected papers of the international workshop, Guanajuato, Mexico. Zbl 0974.00036
1
2002
An asymptotic vanishing theorem for the cohomology of thickenings. Zbl 1481.13032
Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang
1
2021
An asymptotic vanishing theorem for the cohomology of thickenings. Zbl 1481.13032
Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang
1
2021
Stabilization of the cohomology of thickenings. Zbl 1425.13008
Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang
4
2019
Local cohomology modules supported at determinantal ideals. Zbl 1408.13047
Lyubeznik, Gennady; Singh, Anurag K.; Walther, Uli
13
2016
An extension of a theorem of Hartshorne. Zbl 1419.13032
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
6
2016
Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes. Zbl 1318.13025
Bhatt, Bhargav; Blickle, Manuel; Lyubeznik, Gennady; Singh, Anurag K.; Zhang, Wenliang
14
2014
A characteristic-free proof of a basic result on \(\mathcal D\)-modules. Zbl 1211.13016
Lyubeznik, Gennady
7
2011
A property of the Frobenius map of a polynomial ring. Zbl 1239.13009
Lyubeznik, Gennady; Zhang, Wenliang; Zhang, Yi
3
2011
An upper bound on the number of \(F\)-jumping coefficients of a principal ideal. Zbl 1230.13007
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
2
2011
On the discreteness and rationality of \(F\)-jumping coefficients. Zbl 1186.13003
Katzman, Mordechai; Lyubeznik, Gennady; Zhang, Wenliang
15
2009
Absolute integral closure in positive characteristic. Zbl 1109.13003
Huneke, Craig; Lyubeznik, Gennady
17
2007
On some local cohomology modules. Zbl 1121.13016
Lyubeznik, Gennady
11
2007
On the vanishing of local cohomology in characteristic \(p>0\). Zbl 1100.13022
Lyubeznik, Gennady
22
2006
On some local cohomology invariants of local rings. Zbl 1105.13019
Lyubeznik, Gennady
14
2006
Generators of \(D\)-modules in positive characteristic. Zbl 1115.13032
Alvarez-Montaner, Josep; Blickle, Manuel; Lyubeznik, Gennady
18
2005
Set-theoretic complete intersections in characteristic \(p\). Zbl 1077.14064
Barile, Margherita; Lyubeznik, Gennady
9
2005
A partial survey of local cohomology. Zbl 1061.14005
Lyubeznik, Gennady
17
2002
Local cohomology and its applications. Selected papers of the international workshop, Guanajuato, Mexico. Zbl 0974.00036
1
2002
On the commutation of the test ideal with localization and completion. Zbl 0977.13002
Lyubeznik, Gennady; Smith, Karen E.
50
2001
Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: The unramified case. Zbl 0981.13008
Lyubeznik, Gennady
35
2000
Finiteness properties of local cohomology modules: A characteristic-free approach. Zbl 0964.13010
Lyubeznik, Gennady
16
2000
Injective dimension of \(D\)-modules: A characteristic-free approach. Zbl 0989.13010
Lyubeznik, Gennady
9
2000
Rings with a local cohomology theorem and applications to cohomology rings of groups. Zbl 0965.13012
Greenlees, J. P. C.; Lyubeznik, G.
9
2000
Strong and weak F-regularity are equivalent for graded rings. Zbl 0970.13003
Lyubeznik, Gennady; Smith, Karen E.
30
1999
\(F\)-modules: Applications to local cohomology and \(D\)-modules in characteristic \(p>0\). Zbl 0904.13003
Lyubeznik, Gennady
97
1997
On Bernstein-Sato polynomials. Zbl 0878.13018
Lyubeznik, Gennady
4
1997
Minimal resultant systems. Zbl 0856.13004
Lyubeznik, Gennady
2
1995
A simple proof of Grothendieck’s theorem on the parafactoriality of local rings. Zbl 0813.13017
Call, Frederick; Lyubeznik, Gennady
18
1994
Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra). Zbl 0795.13004
Lyubeznik, Gennady
151
1993
Etale cohomological dimension and the topology of algebraic varieties. Zbl 0811.14014
Lyubeznik, Gennady
8
1993
The number of defining equations of affine algebraic sets. Zbl 0770.14021
Lyubeznik, Gennady
12
1992
A generalization of Lichtenbaum’s theorem on the cohomological dimension of algebraic varieties. Zbl 0724.14010
Lyubeznik, Gennady
3
1991
On the vanishing of local cohomology modules. Zbl 0717.13011
Huneke, Craig; Lyubeznik, G.
60
1990
A survey of problems and results on the number of defining equations. Zbl 0753.14001
Lyubeznik, Gennady
6
1989
On the arithmetical rank of monomial ideals. Zbl 0639.13015
Lyubeznik, Gennady
30
1988
A new explicit finite free resolution of ideals generated by monomials in an R-sequence. Zbl 0652.13012
Lyubeznik, Gennady
27
1988
The minimal non-Cohen-Macaulay monomial ideals. Zbl 0655.13020
Lyubeznik, Gennady
10
1988
The number of generators of modules over polynomial rings. Zbl 0667.13006
Lyubeznik, Gennady
3
1988
The number of equations needed to define an algebraic set. Zbl 0678.14012
Lyubeznik, Gennady
2
1988
A property of ideals in polynomial rings. Zbl 0612.13008
Lyubeznik, Gennady
5
1986
Some algebraic sets of high local cohomological dimension in projective space. Zbl 0587.14002
Lyubeznik, Gennady
8
1985
On set-theoretic intersections. Zbl 0575.14041
Lyubeznik, Gennady
7
1984
On the local cohomology modules \(H^ i_{{\mathfrak a}}(R)\) for ideals \({\mathfrak a}\) generated by monomials in an R-sequence. Zbl 0578.13012
Lyubeznik, Gennady
6
1984
all top 5

Cited by 357 Authors

20 Lyubeznik, Gennady
19 Zhang, Wenliang
17 Katzman, Mordechai
17 Núñez-Betancourt, Luis
17 Schwede, Karl E.
15 Bahmanpour, Kamal
15 Naghipour, Reza
14 Àlvarez Montaner, Josep
13 Barile, Margherita
13 Huneke, Craig L.
13 Pham Hung Quy
13 Pukhlikov, Aleksandr Valentinovich
13 Singh, Anurag K.
12 Sharp, Rodney Y.
11 Khashyarmanesh, Kazem
11 Puthenpurakal, Tony J.
10 Blickle, Manuel
10 Varbaro, Matteo
9 Dao, Hailong
9 Walther, Uli
9 Yassemi, Siamak
8 Ma, Linquan
8 Takagi, Shunsuke
8 Witt, Emily E.
7 Boix, Alberto Fernandez
7 Divaani-Aazar, Kamran
7 Hellus, Michael
7 Smith, Karen E.
6 Bhatt, Bhargav
6 Enescu, Florian
6 Hernández, Daniel J.
6 Kimura, Kyouko
6 Mustaţă, Mircea
6 Tucker, Kevin
5 De Stefani, Alessandro
5 Eghbali, Majid
5 Greenlees, John P. C.
5 Mafi, Amir
5 Schenzel, Peter
5 Switala, Nicholas
5 Terai, Naoki
5 Tousi, Massoud
5 Yao, Yongwei
4 Aberbach, Ian M.
4 Dibaei, Mohammad T.
4 Erdoğdu, Vahap
4 Hochster, Melvin
4 Khosh-Ahang, Fahimeh
4 Macchia, Antonio
4 Nadi, Parvaneh
4 Pérez, Felipe
4 Perlman, Michael D.
4 Rahmati, Farhad
4 Sedghi, Monireh
4 Seyed Fakhari, Seyed Amin
4 Thoma, Apostolos
4 Villarreal, Rafael Heraclio
4 Watanabe, Kei-ichi
4 Yanagawa, Kohji
4 Zarzuela, Santiago
3 Asgharzadeh, Mohsen
3 Atazadeh, Ali
3 Barthel, Tobias
3 Brenner, Holger
3 Delfino, Donatella
3 Epstein, Neil
3 García López, Ricardo
3 Hà, Huy Tài
3 Hara, Nobuo
3 Hashimoto, Mitsuyasu
3 Heard, Drew
3 Huong, Duong Thi
3 Katsabekis, Anargyros
3 Marley, Thomas
3 Montaño, Jonathan
3 Morales, Marcel
3 Nguyen Tu Cuong
3 Popescu, Dorin
3 Pournaki, Mohammad Reza
3 R. G., Rebecca
3 Raicu, Claudiu
3 Roy, Sudeshna
3 Salarian, Shokrollah
3 Shimomoto, Kazuma
3 Singh, Jyoti Prakash
3 Stückrad, Jürgen
3 Valenzuela, Gabriel
3 Yeşil, Mehmet
2 Aghapournahr, Moharram
2 Ahmadi-Amoli, Khadijeh
2 Asadollahi, Javad J.
2 Banerjee, Arindam
2 Bavula, Vladimir V.
2 Belshoff, Richard G.
2 Benedetti, Bruno
2 Bitoun, Thomas
2 Castellana, Natàlia
2 Constantinescu, Alexandru
2 Cutkosky, Steven Dale
2 Das, Mrinal Kanti
...and 257 more Authors
all top 5

Cited in 84 Serials

70 Communications in Algebra
66 Journal of Algebra
40 Proceedings of the American Mathematical Society
37 Journal of Pure and Applied Algebra
24 Transactions of the American Mathematical Society
19 Advances in Mathematics
18 Journal of Algebra and its Applications
12 Nagoya Mathematical Journal
12 Journal of Symbolic Computation
11 Mathematische Zeitschrift
10 Archiv der Mathematik
10 Journal of Algebraic Combinatorics
10 Journal of Commutative Algebra
9 Rocky Mountain Journal of Mathematics
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Manuscripta Mathematica
8 Michigan Mathematical Journal
8 Algebra Colloquium
7 Compositio Mathematica
7 Mathematische Annalen
6 Acta Mathematica Vietnamica
5 Inventiones Mathematicae
4 Collectanea Mathematica
4 Illinois Journal of Mathematics
3 Beiträge zur Algebra und Geometrie
3 Journal of Algebraic Geometry
3 Selecta Mathematica. New Series
3 Proceedings of the Steklov Institute of Mathematics
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Bulletin of the Korean Mathematical Society
2 Forum Mathematicum
2 IMRN. International Mathematics Research Notices
2 Algebras and Representation Theory
2 Journal of the Institute of Mathematics of Jussieu
2 Algebra & Number Theory
2 Arnold Mathematical Journal
2 Algebraic Combinatorics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Ricerche di Matematica
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Topology and its Applications
1 Sugaku Expositions
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Acta Mathematica Sinica. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Turkish Journal of Mathematics
1 Finite Fields and their Applications
1 The Electronic Journal of Combinatorics
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Representation Theory
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Hacettepe Journal of Mathematics and Statistics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Frontiers of Mathematics in China
1 Asian-European Journal of Mathematics
1 Kyoto Journal of Mathematics
1 The Journal of Software for Algebra and Geometry
1 Mathematics
1 European Journal of Mathematics
1 Algebraic Structures and their Applications
1 Journal of Algebraic Systems

Citations by Year