English

An approach of the Minimal Model Program for horospherical varieties via moment polytopes

Algebraic Geometry 2012-11-28 v1

Abstract

We describe the Minimal Model Program in the family of Q\mathbb{Q}-Gorenstein projective horospherical varieties, by studying a family of polytopes defined from the moment polytope of a Cartier divisor of the variety we begin with. In particular, we generalize the results on MMP in toric varieties due to M. Reid, and we complete the results on MMP in spherical varieties due to M. Brion in the case of horospherical varieties.

Keywords

Cite

@article{arxiv.1211.6229,
  title  = {An approach of the Minimal Model Program for horospherical varieties via moment polytopes},
  author = {Boris Pasquier},
  journal= {arXiv preprint arXiv:1211.6229},
  year   = {2012}
}

Comments

33 pages, 5 figures