English

Toric Quasifolds

Symplectic Geometry 2024-04-09 v2 Algebraic Geometry Combinatorics Differential Geometry

Abstract

Toric quasifolds are highly singular spaces that were first introduced in order to address, from the symplectic viewpoint, the longstanding open problem of extending the classical constructions of toric geometry to those simple convex polytopes that are not rational. We illustrate toric quasifolds, and their atlases, by describing some notable examples. We conclude with a number of considerations.

Keywords

Cite

@article{arxiv.2205.00430,
  title  = {Toric Quasifolds},
  author = {Elisa Prato},
  journal= {arXiv preprint arXiv:2205.00430},
  year   = {2024}
}

Comments

11 pages, 5 figures, final section and bibliography revised, to appear in Math. Intelligencer

R2 v1 2026-06-24T11:03:50.186Z