English

On Tangential varieties of rational homogeneous varieties

Algebraic Geometry 2007-05-23 v2 Representation Theory

Abstract

We determine which tangential varieties of homogeneously embedded rational homogeneous varieties are spherical. We determine the homogeneous coordinate rings and rings of covariants of the tangential varieties of homogenously embedded compact Hermitian symmetric spaces (CHSS). We give bounds on the degrees of generators of the ideals of tangential varieties of CHSS and obtain more explicit infomation about the ideals in certain cases.

Keywords

Cite

@article{arxiv.math/0509388,
  title  = {On Tangential varieties of rational homogeneous varieties},
  author = {J. M. Landsberg and Jerzy Weyman},
  journal= {arXiv preprint arXiv:math/0509388},
  year   = {2007}
}

Comments

17 pages, completely rewritten with some errors corrected