Cohomology of Compact Hyperkähler Manifolds and its Applications.
M. Verbitsky (1996)
Geometric and functional analysis
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M. Verbitsky (1996)
Geometric and functional analysis
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C. Denson Hill, Mauro Nacinovich (1995)
Mathematische Zeitschrift
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Shurygin, Vadim V., Smolyakova, Larisa B. (2001)
Lobachevskii Journal of Mathematics
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C. Denson Hill, M. Nacinovich (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Daniele Angella, Hisashi Kasuya (2014)
Complex Manifolds
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We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.
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.
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.
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...
Bingyong Xie (2011)
Acta Arithmetica
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P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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John W. Rutter (1976)
Colloquium Mathematicae
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Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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Walter Lawrence Griffith, Jr. (1982)
Colloquium Mathematicae
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de Jong, Johan, van der Put, Maurius (1996)
Documenta Mathematica
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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.