Journal
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Volume 12, Issue 5, Pages 1267-1291Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/JEMS/229
Keywords
Higher secant varieties; tangential projections; special varieties
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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.
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