On the dimension of secant varieties

Autores: Luca Chiantini , Ciro Ciliberto
Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 12, Nº 5, 2010, págs. 1267-1291
Idioma: inglés
DOI: 10.4171/jems/229
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Resumen
- In this paper we generalize Zak�s theorems on tangencies and on linear normality as well as Zak�s definition and classification of Severi varieties. In particular we find sharp lower bounds for the dimension of higher secant varieties of a given variety X under suitable regularity assumptions on X, and we classify varieties for which the bound is attained.