Mathematics – Algebraic Geometry
Scientific paper
2008-12-10
Mathematics
Algebraic Geometry
Scientific 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 assumption on X, and we classify varieties
for which the bound is attained.
Chiantini Luca
Ciliberto Ciro
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