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Hyperplane sections of Legendrian subvarieties

Jaroslaw Buczynski

math.AGarXiv:math/0701590

Abstract

We prove that a general hyperplane section of a smooth Legendrian subvariety in a projective space admits Legendrian embedding into another projective space. This gives numerous new examples of smooth Legendrian subvarieties, some of which have positive Kodaira dimension.

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