Filtering cohomology and lifting vector bundles

Evans, E. Graham; Griffith, Phillip

doi:10.1090/S0002-9947-1985-0779066-1

Filtering cohomology and lifting vector bundles
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by E. Graham Evans and Phillip Griffith PDF

Trans. Amer. Math. Soc. 289 (1985), 321-332 Request permission

Abstract:

For a module $M$ over a local Cohen-Macaulay ring $R$ we develop a (finite) sequence of presentations of $M$ which facilitates the study of invariants arising from the cohomology modules of $M$. As an application we use this data, in case $R$ is regular and $M$ represents a vector bundle on the punctured spectrum of $R$ with a vanishing cohomology module, to obtain bounds on how far $M$ can be lifted as a vector bundle.

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Sur les modules projectifs

2

Finite dimensional vector bundles over infinite varieties

40

10