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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Filtering cohomology and lifting vector bundles


Authors: E. Graham Evans and Phillip Griffith
Journal: Trans. Amer. Math. Soc. 289 (1985), 321-332
MSC: Primary 13D03; Secondary 13C05, 13H10, 14F05
MathSciNet review: 779066
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0779066-1
PII: S 0002-9947(1985)0779066-1
Article copyright: © Copyright 1985 American Mathematical Society