Downgrading of a T-variety

Pavankumar Dighe; Vivek Mohan Mallick

Downgrading of a T-variety

Algebraic Geometry 2023-06-08 v1

Authors: Pavankumar Dighe , Vivek Mohan Mallick

Abstract

For an affine $T$ -variety $X$ with the action of a torus $T$ , this paper provides a combinatorial description of $X$ with respect to the action of a subtorus $T' \subset T$ in terms of a $T/T'$ -invariant pp-divisor. We also describe the corresponding GIT fan.

Keywords

affine t-variety torus action subtorus pp-divisor git fan combinatorial description

Cite

@article{arxiv.2306.04183,
  title  = {Downgrading of a T-variety},
  author = {Pavankumar Dighe and Vivek Mohan Mallick},
  journal= {arXiv preprint arXiv:2306.04183},
  year   = {2023}
}

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