On multiples of divisors associated to Veronese embeddings with defective secant variety

Details On multiples of divisors associated to Veronese embeddings with defective secant variety On multiples of divisors associated to Veronese embeddings with defective secant variety

2004-09-08

arxiv.org/abs/math/0409129v2

Bull. Belg. Math. Soc. Simon Stevin 16 (2009), 933-942

Mathematics

Algebraic Geometry

10 pages, LaTeX

Scientific paper

In this note we consider multiples aD, where D is a divisor of the blow-up of
P^n along points in general position which appears in the Alexander and
Hirschowitz list of Veronese embeddings having defective secant varieties. In
particular we show that there is such a D with h^1(X,D) > 0 and h^1(X,2D) = 0.

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