Desingularization of binomial varieties using toric Artin stacks
Algebraic Geometry
2024-01-02 v2 Commutative Algebra
Abstract
We show how the notion of fantastacks can be used to effectively desingularize binomial varieties defined over algebraically closed fields. In contrast to a desingularization via blow-ups in smooth centers, we drastically reduce the number of steps and the number of charts appearing along the process. Furthermore, we discuss how our considerations extend to a partial simultaneous normal crossings desingularization of finitely many binomial hypersurfaces.
Keywords
Cite
@article{arxiv.2208.08951,
title = {Desingularization of binomial varieties using toric Artin stacks},
author = {Dan Abramovich and Bernd Schober},
journal= {arXiv preprint arXiv:2208.08951},
year = {2024}
}
Comments
Minor changes, accepted for publication in the Mathematische Zeitschrift, 23 pages