Klt singularities of horospherical pairs

Boris Pasquier

Klt singularities of horospherical pairs

Algebraic Geometry 2015-10-01 v2

Authors: Boris Pasquier

Abstract

Let $X$ be a horospherical $G$ -variety and let $D$ be an effective $\mathbb{Q}$ -divisor of $X$ that is stable under the action of a Borel subgroup $B$ of $G$ and such that $D+K\_X$ is $\mathbb{Q}$ -Cartier. We prove, using Bott-Samelson resolutions, that the pair $(X,D)$ is klt if and only if $\lfloor D\rfloor=0$

Keywords

horospherical pair klt singularity Q-divisor Bott-Samelson resolution Borel subgroup Q-Cartier

Cite

@article{arxiv.1509.06502,
  title  = {Klt singularities of horospherical pairs},
  author = {Boris Pasquier},
  journal= {arXiv preprint arXiv:1509.06502},
  year   = {2015}
}

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