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: | |
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: |