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
• Texto completo no disponible (Saber más ...)
• 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.