Some quasihomogeneous Legendrian varieties
Algebraic Geometry
2010-01-20 v3
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.
Cite
@article{arxiv.math/0701750,
title = {Some quasihomogeneous Legendrian varieties},
author = {Jaroslaw Buczynski},
journal= {arXiv preprint arXiv:math/0701750},
year = {2010}
}
Comments
21 pages, 1 figure