English

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

Algebraic Geometry 2010-03-18 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0409129,
  title  = {On multiples of divisors associated to Veronese embeddings with defective secant variety},
  author = {Antonio Laface and Luca Ugaglia},
  journal= {arXiv preprint arXiv:math/0409129},
  year   = {2010}
}

Comments

10 pages, LaTeX