Explicit resolution of weak wild quotient singularities on arithmetic surfaces

Autor:	Obus, Andrew, Wewers, Stefan
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra Mathematics - Number Theory Primary: 11G20 14B05 14J17. Secondary: 13F30 14B07 14D15 14H25
Zdroj:	J. Algebraic Geom. 29 (2020), no. 4, 691--728
Druh dokumentu:	Working Paper
Popis:	A weak wild arithmetic quotient singularity arises from the quotient of a smooth arithmetic surface by a finite group action, where the inertia group of a point on a closed characteristic p fiber is a p-group acting with smallest possible ramification jump. In this paper, we give complete explicit resolutions of these singularities using deformation theory and valuation theory, taking a more local perspective than previous work has taken. Our descriptions answer several questions of Lorenzini. Along the way, we give a valuation-theoretic criterion for a normal snc-model of P^1 over a discretely valued field to be regular. Comment: Final version, to appear in the Journal of Algebraic Geometry. 31 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.09709 Zobrazit plný text záznamu View this record from Arxiv