Rigid Cohomology and de Rham-Witt Complexes
Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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John W. Rutter (1976)
Colloquium Mathematicae
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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...
P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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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.
Bingyong Xie (2011)
Acta Arithmetica
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Andrzej Weber (2004)
Open Mathematics
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We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complexIH T*(X)⊗H*(T). We also describe the weight filtration inIH *(X).
W. Kucharz (2005)
Annales Polonici Mathematici
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A Nash cohomology class on a compact Nash manifold is a mod 2 cohomology class whose Poincaré dual homology class can be represented by a Nash subset. We find a canonical way to define Nash cohomology classes on an arbitrary compact smooth manifold M. Then the Nash cohomology ring of M is compared to the ring of algebraic cohomology classes on algebraic models of M. This is related to three conjectures concerning algebraic cohomology classes.
P.J. HUBER (1961)
Mathematische Annalen
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Kermit Sigmon (1975)
Aequationes mathematicae
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Roy Joshua (1987)
Mathematische Zeitschrift
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David Eisenbud, Frank-Olaf Schreyer (2010)
Journal of the European Mathematical Society
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We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.
Pearson, Kelly Jeanne (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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de Jong, Johan, van der Put, Maurius (1996)
Documenta Mathematica
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