Test ideals in mixed characteristic: a unified theory up to perturbation

Autor:	Bhatt, Bhargav, Ma, Linquan, Patakfalvi, Zsolt, Schwede, Karl, Tucker, Kevin, Waldron, Joe, Witaszek, Jakub
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra 14F18 13A35
Druh dokumentu:	Working Paper
Popis:	Let $X$ be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inverting $p$, can be computed from a sufficiently large alteration, agrees with previous mixed characteristic BCM test ideals after localizing and completing at any point of residue characteristic $p$ (up to small perturbation), and which satisfies the full suite of expected properties of a multiplier or test ideal. This object is obtained via the $p$-adic Riemann-Hilbert functor. Comment: 99 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.00615 Zobrazit plný text záznamu View this record from Arxiv