The injectivity of Frobenius acting on cohomology and local cohomology modules.
Kei-ichi Watanabe, Nobuo Hara (1996)
Manuscripta mathematica
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Kei-ichi Watanabe, Nobuo Hara (1996)
Manuscripta mathematica
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Hisashi Kasuya (2016)
Complex Manifolds
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For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ, C) of the solvmanifold Γ. In this note, we give a quick introduction to the construction of such A*Γ including a simple proof of H*(A*Γ) ≅ H*(Γ, C).
Ahmad Khojali (2017)
Czechoslovak Mathematical Journal
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We consider the annihilator of certain local cohomology modules. Moreover, some results on vanishing of these modules will be considered.
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.
Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Hüttemann, Thomas (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 18G35; Secondary 55U15. We consider non-standard totalisation functors for double complexes, involving left or right truncated products. We show how properties of these imply that the algebraic mapping torus of a self map h of a cochain complex of finitely presented modules has trivial negative Novikov cohomology, and has trivial positive Novikov cohomology provided h is a quasi-isomorphism. As an application we obtain a new...
Shahram Rezaei (2023)
Czechoslovak Mathematical Journal
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Markus P. Brodmann (1987)
Časopis pro pěstování matematiky
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John W. Rutter (1976)
Colloquium Mathematicae
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John E. Roberts (1977)
Recherche Coopérative sur Programme n°25
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Shurygin, Vadim V., Smolyakova, Larisa B. (2001)
Lobachevskii Journal of Mathematics
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Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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Urs Würgler (1984)
Mathematische Annalen
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C. Huneke, G. Lyubeznik (1990)
Inventiones mathematicae
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P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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