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On the third secant variety

✍ Scribed by Buczyński, Jarosław; Landsberg, J. M.

Book ID: 121571402
Publisher: Springer
Year: 2014
Tongue: English
Weight: 923 KB
Volume: 40
Category: Article
ISSN: 0925-9899
DOI: 10.1007/s10801-013-0495-0

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Let P N be a projective space over an algebraically closed ÿeld of characteristic zero. Let X ⊂ P N be a closed, irreducible subvariety, not lying on a hyperplane. The kth higher secant variety of X , denoted X k , is the closure of the union of all linear spaces spanned by k points of X . We prove