Dual varieties of subvarieties of homogeneous spaces
Algebraic Geometry
2007-05-23 v1
Abstract
A subvariety of a complex projective space has a well-known dual variety, which is the set of its tangent hyperplanes. The purpose of this paper is to generalise this notion for a subvariety of a quite general partial flag variety. A similar biduality theorem is proved, and the dual varieties of Schubert varieties are described.
Cite
@article{arxiv.math/0702829,
title = {Dual varieties of subvarieties of homogeneous spaces},
author = {Pierre-Emmanuel Chaput},
journal= {arXiv preprint arXiv:math/0702829},
year = {2007}
}
Comments
38 pages