Some algebraic sets of high local cohomological dimension in projective space

Gennady Lyubeznik

doi:10.1090/S0002-9939-1985-0796437-3

Some algebraic sets of high local cohomological dimension in projective space

Gennady Lyubeznik

Mathematics

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11 Scopus citations

Abstract

Let V₀…V_(n/i) de algebraic sets of purecodimension t in Pⁿ, and suppose ∩n_i is empty. Then Pⁿ- ∪ V_i has cohomological dimension n - [n/t].

Original language	English (US)
Pages (from-to)	9-10
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	95
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1985-0796437-3
State	Published - Sep 1985

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title = "Some algebraic sets of high local cohomological dimension in projective space",

abstract = "Let V0…V(n/i) de algebraic sets of purecodimension t in Pn, and suppose ∩ni is empty. Then Pn- ∪ Vi has cohomological dimension n - [n/t].",

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AB - Let V0…V(n/i) de algebraic sets of purecodimension t in Pn, and suppose ∩ni is empty. Then Pn- ∪ Vi has cohomological dimension n - [n/t].

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Some algebraic sets of high local cohomological dimension in projective space

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