Desingularization of binomial varieties using toric Artin stacks

Autor:	Abramovich, Dan, Schober, Bernd
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra 13F56 14M25 14B05 14J17 14D23
Druh dokumentu:	Working Paper
Popis:	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. Comment: Minor changes, accepted for publication in the Mathematische Zeitschrift, 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.08951 Zobrazit plný text záznamu View this record from Arxiv