Keel's base point free theorem and quotients in mixed characteristic

Autor:	Witaszek, Jakub
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We develop techniques of mimicking the Frobenius action in the study of universal homeomorphisms in mixed characteristic. As a consequence, we show a mixed characteristic Keel's base point free theorem obtaining applications towards the mixed characteristic Minimal Model Program, we generalise Koll\'ar's theorem on the existence of quotients by finite equivalence relations to mixed characteristic, and we provide a new proof of the existence of quotients by affine group schemes. Comment: 46 pages, to appear in Annals of Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.11915 Zobrazit plný text záznamu View this record from Arxiv