Mathematical Research Letters

Volume 15 (2008)

Number 4

Hyperplane sections of Legendrian subvarieties

Pages: 623 – 629



Jaroslaw Buczynski (University of Warsaw)


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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