Algorithmic local monomialization of a binomial: a comparison of different approaches

Autor:	Gaube, Sabrina Alexandra, Schober, Bernd
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra 13F65 14B05 14J17 13P99
Druh dokumentu:	Working Paper
Popis:	We investigate different approaches to transform a given binomial into a monomial via blowing up appropriate centers. In particular, we develop explicit implementations in {\sc Singular}, which allow to make a comparison on the basis of numerous examples. We focus on a local variant, where centers are not required to be chosen globally. Moreover, we do not necessarily demand that centers are contained in the singular locus. Despite these restrictions, the techniques are connected to the computation of $ p $-adic integral whose data is given by finitely many binomials. Comment: 29 pages; v3: minor revisions and clarifications. v2: clarified some points
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.14910 Zobrazit plný text záznamu View this record from Arxiv