Hyperplane sections of Legendrian subvarieties

Details Hyperplane sections of Legendrian subvarieties Hyperplane sections of Legendrian subvarieties

2007-01-21

arxiv.org/abs/math/0701590v2

Math. Res. Lett. 15 (2008), no. 4, 623--629.

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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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