On multiples of divisors associated to Veronese embeddings with defective secant variety
Laface, Antonio ; Ugaglia, Luca
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 933-942 / Harvested from Project Euclid
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In this note we consider multiples $aD$, where $D$ is a divisor of the blow-up of $\mathbb{P}^n$ 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 $h^1(X,2D) = 0$.
Publié le : 2009-12-15
Classification:  Linear systems,  fat points,  14C20 
@article{1260369407,
     author = {Laface, Antonio and Ugaglia, Luca},
     title = {On multiples of divisors associated to Veronese embeddings with defective secant variety},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 933-942},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1260369407}
}

Laface, Antonio; Ugaglia, Luca. On multiples of divisors associated to Veronese embeddings with defective secant variety. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  933-942. http://gdmltest.u-ga.fr/item/1260369407/