Finiteness properties of local cohomology modules (an application of D-modules to Commutative Algebra).
Gennady Lyubeznik (1993)
Inventiones mathematicae
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Gennady Lyubeznik (1993)
Inventiones mathematicae
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Shahram Rezaei (2023)
Czechoslovak Mathematical Journal
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Gennady Lyubeznik (1997)
Journal für die reine und angewandte Mathematik
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Kei-ichi Watanabe, Nobuo Hara (1996)
Manuscripta mathematica
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C. Huneke, G. Lyubeznik (1990)
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Santiago Zarzuela (2002)
Banach Center Publications
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Keivan Borna, Ahad Rahimi, Syrous Rasoulyar (2012)
Colloquium Mathematicae
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We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.
Shurygin, Vadim V., Smolyakova, Larisa B. (2001)
Lobachevskii Journal of Mathematics
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Joseph F. Johnson (1984)
Mathematische Annalen
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Huru, H.L. (2006)
Lobachevskii Journal of Mathematics
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R. García López, C. Sabbah (1998)
Collectanea Mathematica
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We express the Lyubeznik numbers of the local ring of a complex isolated singularity in terms of Betti numbers of the associated real link.
W. Soergel (1989)
Inventiones mathematicae
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Benson, David (2001)
The New York Journal of Mathematics [electronic only]
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Manuel Blickle, Raphaël Bondu (2005)
Annales de l'institut Fourier
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Using a recently introduced correspondence of Emerton-Kisin we give a description of Lyubeznik’s local cohomology invariants in terms of local étale cohomology with coefficients.