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Some quasihomogeneous Legendrian varieties

Jaroslaw Buczynski
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Abstract

We construct a family of examples of Legendrian subvarieties in some projective spaces. Although most of them are singular, a new example of smooth Legendrian variety in dimension 8 is in this family. The 8-fold has interesting properties: it is a compactification of the special linear group, a Fano manifold of index 5 and Picard number 1.

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Jaroslaw Buczynski. 2007-08-08. Some quasihomogeneous Legendrian varieties. https://arxiv.org/abs/math/0701750

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