Equivariant operational Chow rings of T-linear schemes

Richard Gonzales

Equivariant operational Chow rings of T-linear schemes

Algebraic Geometry 2015-04-29 v5

Authors: Richard Gonzales

Abstract

We study $T$ -linear schemes, a class of objects that includes spherical and Schubert varieties. We provide a localization theorem for the equivariant Chow cohomology of these schemes that does not depend on resolution of singularities. Furthermore, we give an explicit presentation of the equivariant Chow cohomology of possibly singular complete spherical varieties admitting a smooth equivariant envelope (e.g. group embeddings).

Keywords

T-linear schemes equivariant Chow cohomology localization theorem spherical varieties Schubert varieties singularities group embeddings

Cite

@article{arxiv.1304.3645,
  title  = {Equivariant operational Chow rings of T-linear schemes},
  author = {Richard Gonzales},
  journal= {arXiv preprint arXiv:1304.3645},
  year   = {2015}
}

Comments

Final version. 27 pages. To appear in Documenta Mathematica

Equivariant operational Chow rings of T-linear schemes

Abstract

Keywords

Cite

Comments

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