English

An overview of horospherical varieties and coloured fans

Algebraic Geometry 2026-03-04 v3 Combinatorics

Abstract

We provide an overview of the combinatorial theory of horospherical varieties using coloured fans, a generalization of the combinatorial theory of toric varieties using polyhedral fans.

Keywords

Cite

@article{arxiv.2305.13558,
  title  = {An overview of horospherical varieties and coloured fans},
  author = {Sean Monahan},
  journal= {arXiv preprint arXiv:2305.13558},
  year   = {2026}
}

Comments

46 pages. Current V3 changed some content and fixed some errors, particularly in Sections 1.2, 6.3 (new), 6.4, and 7.2