Grinberg-Kazhdan theorem and Newton groupoids

Autor:	Drinfeld, Vladimir
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Geometry Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We first prove the Grinberg-Kazhdan formal arc theorem without any assumptions on the characteristic. This part of the article is equivalent to arXiv:math-AG/0203263. Then we try to clarify the geometric ideas behind the proof by introducing the notion of Newton groupoid (which is related to Newton's method for finding roots). Newton groupoids are certain groupoids in the category of schemes associated to any generically etale morphism from a locally complete intersection to a smooth variety. Comment: Minor change in Section 5.7
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.01046 Zobrazit plný text záznamu View this record from Arxiv