On the dimension of secant varieties

被引：18

作者：

Chiantini, Luca ^{[1
]}

Ciliberto, Ciro ^{[2
]}

机构：

[1] Dipartimento Sci Matemat & Informat, I-53100 Siena, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2010年 / 12卷 / 05期

关键词：

Higher secant varieties; tangential projections; special varieties; THEOREM;

D O I：

10.4171/JEMS/229

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1267 / 1291

页数：25

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