Koszul cohomology and -normality of a projective variety.

Alzati, A.; Besana, G.M.

Displaying similar documents to “Koszul cohomology and $k$ -normality of a projective variety.”

Cohomology of S1-orbit Spaces of Cohomology Spheres and Cohomology Complex Projective Spaces.

Mikiya Masuda (1981)

Mathematische Zeitschrift

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Cohomology of Twisted Projective Spaces and Lena Complexes.

Tetsuro Kawasaki (1973)

Mathematische Annalen

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Syzygies and Koszul cohomology of smooth projective varieties for arbitrary dimension.

Robert Lazarsfeld, Lawrence Ein (1993)

Inventiones mathematicae

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Sectional genus and cohomology of projective varieties.

M. Brodmann (1991)

Mathematische Zeitschrift

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Cohomology of coherent sheaves and series of supernatural bundles

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.

Existence of Gorenstein projective resolutions and Tate cohomology

Peter Jørgensen (2007)

Journal of the European Mathematical Society

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Existence of proper Gorenstein projective resolutions and Tate cohomology is proved over rings with a dualizing complex. The proofs are based on Bousfield Localization which is originally a method from algebraic topology.