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Vanishing of sections of vector bundles on 0-dimensional schemes

Edoardo Ballico (1999)

Commentationes Mathematicae Universitatis Carolinae

Here we give conditions and examples for the surjectivity or injectivity of the restriction map $H^{0} (X, F) \to H^{0} (Z, F | Z)$ , where $X$ is a projective variety, $F$ is a vector bundle on $X$ and $Z$ is a “general” $0$ -dimensional subscheme of $X$ , $Z$ union of general “fat points”.

Vanishing theorems and degeneracy loci in small corang. (Théoremès d'annulation et lieux de degenerescence en petit corang.)

Chaput, Pierre-Emmanuel (2004)

Documenta Mathematica

Vanishing theorems for constructible sheaves I.

Helmut A. Hamm, Lê Dung Tráng (1996)

Journal für die reine und angewandte Mathematik

Versions kählériennes du théorème d'annulation de Bogomolov.

Christophe Mourougane (1998)

Collectanea Mathematica

We extend to compact Kaehler and Fujiki manifolds the theorem of F. Bogomolov, on vanishing of the space of holomorphic p-forms with values in a line bundle whose dual L is numerically effective, for the degrees p less than the numerical dimension of L.

Displaying 1 – 4 of 4

Vanishing of sections of vector bundles on 0-dimensional schemes

Vanishing theorems and degeneracy loci in small corang. (Théoremès d'annulation et lieux de degenerescence en petit corang.)

Vanishing theorems for constructible sheaves I.

Versions kählériennes du théorème d'annulation de Bogomolov.

Currently displaying 1 – 4 of 4