Singularities of the secant variety

Peter Vermeire

doi:10.1016/j.jpaa.2008.11.006

Singularities of the secant variety

Peter Vermeire

COLLEGE OF SCIENCE & ENGINEERING

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We give positivity conditions on the embedding of a smooth variety which guarantee the normality of the secant variety, generalizing earlier results of the author and others. We also give classes of secant varieties satisfying the Hodge conjecture as well as a result on the singular locus of degenerate secant varieties.

Original language	English
Pages (from-to)	1129-1132
Number of pages	4
Journal	Journal of Pure and Applied Algebra
Volume	213
Issue number	6
DOIs	https://doi.org/10.1016/j.jpaa.2008.11.006
State	Published - Jun 2009

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title = "Singularities of the secant variety",

abstract = "We give positivity conditions on the embedding of a smooth variety which guarantee the normality of the secant variety, generalizing earlier results of the author and others. We also give classes of secant varieties satisfying the Hodge conjecture as well as a result on the singular locus of degenerate secant varieties.",

author = "Peter Vermeire",

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Singularities of the secant variety

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