English

On maximal rational poylhedral fans

Algebraic Geometry 2022-12-19 v1 Combinatorics

Abstract

In this paper we study the geometry and combinatorics of the possible rational polyhedral fans with a given set of rays. The main questions we consider are when such fans are projective, complete, or simplicial. To answer these questions we use techniques of invariant theory to characterize the quotients of maximal saturated open sets in torus representations.

Keywords

Cite

@article{arxiv.2212.08240,
  title  = {On maximal rational poylhedral fans},
  author = {Dan Edidin and Dillon Lisk},
  journal= {arXiv preprint arXiv:2212.08240},
  year   = {2022}
}

Comments

29 pages

R2 v1 2026-06-28T07:38:09.963Z