A comparison of dg algebra resolutions with prime residual characteristic

Autor:	DeBellevue, Michael, Pollitz, Josh
Rok vydání:	2021
Předmět:	Mathematics - Commutative Algebra 13D02 13A35 (primary) 13D07 16E45 (secondary)
Druh dokumentu:	Working Paper
Popis:	In this article we fix a prime integer $p$ and compare certain dg algebra resolutions over a local ring whose residue field has characteristic $p$. Namely, we show that given a closed surjective map between such algebras there is a precise description for the minimal model in terms of the acyclic closure, and that the latter is a quotient of the former. A first application is that the homotopy Lie algebra of a closed surjective map with residual characteristic $p$ is abelian. We also use these calculations to show deviations enjoy rigidity properties which detect the (quasi-)complete intersection property. Comment: 18 pages. Minor changes that improved the exposition. To appear in Q. J. Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.12512 Zobrazit plný text záznamu View this record from Arxiv