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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some algebraic sets of high local cohomological dimension in projective space


Author: Gennady Lyubeznik
Journal: Proc. Amer. Math. Soc. 95 (1985), 9-10
MSC: Primary 14B15; Secondary 13D99
DOI: https://doi.org/10.1090/S0002-9939-1985-0796437-3
MathSciNet review: 796437
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Abstract: Let $ {V_0}, \ldots ,{V_{[n/t]}}$ be algebraic sets of pure codimension $ t$ in $ {P^n}$, and suppose $ \cap {V_i}$ is empty. Then $ {P^n} - \cup {V_i}$ has cohomological dimension $ n - [n/t]$.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0796437-3
Article copyright: © Copyright 1985 American Mathematical Society