{"id":"hexagon/2610.00597","pdf":"https://hexagonmath.org/pdf/2610.00597v1","url":"https://hexagonmath.org/abs/2610.00597v1","tags":["math.AC","msc:14E22","msc:13H05","Regular rings"],"score":0,"title":"Serre’s conjecture on the Artin character for a regular local ring","domain":"math.AG","origin":"ai-generated","source":"hexagon","authors":["Mark Kisin"],"reviews":0,"subject":"math.AG","summary":"We prove Serre’s conjecture on the Artin character of a finite group G acting on a regular local ring A with isolated fixed points. The case of positive characteristic is due to Abe. In mixed characteristic we use an equivariant deformation to reduce to the case where A has an isolated singularity, in which case we can make use of the results of Beraldo and Pippi on the twisted conductor formula.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-28","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"all"}