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).
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...
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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Takeo Ohsawa (1992)
Mathematische Zeitschrift
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Andrzej Czarnecki (2014)
Annales Polonici Mathematici
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A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.
Yves Felix, Jean-Claude Thomas, Micheline Vigué-Poirrier (2004)
Publications Mathématiques de l'IHÉS
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Let M be a closed orientable manifold of dimension and be the usual cochain algebra on M with coefficients in a field. The Hochschild cohomology of M, is a graded commutative and associative algebra. The augmentation map induces a morphism of algebras . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of , which is in general quite small. The algebra is expected to...