English

Equivariant compactifications of reductive groups

Algebraic Geometry 2015-06-26 v2

Abstract

We study equivariant projective compactifications of reductive groups obtained by closing the image of a group in the space of operators of a projective representation. We describe the structure and the mutual position of their orbits under the action of the doubled group by left/right multiplications, the local structure in a neighborhood of a closed orbit, and obtain some conditions of normality and smoothness of a compactification. Our methods of research use the theory of equivariant embeddings of spherical homogeneous spaces and of reductive algebraic semigroups.

Keywords

Cite

@article{arxiv.math/0207034,
  title  = {Equivariant compactifications of reductive groups},
  author = {Dmitri A. Timashev},
  journal= {arXiv preprint arXiv:math/0207034},
  year   = {2015}
}

Comments

30 pages, AmSLaTeX. Bibliography: 36 items