Odds and ends on finite group actions and traces
Luc Illusie, Weizhe Zheng
TL;DR
This paper investigates virtual traces in finite group actions on schemes over algebraically closed fields, extending previous results and exploring applications to fixed point sets.
Contribution
It generalizes existing results on traces and fixed points for finite group actions on schemes, providing new insights and broader applicability.
Findings
Generalized trace formulas for finite group actions
Extended fixed point set analysis
Built upon and expanded previous foundational results
Abstract
In this article, we study several problems related to virtual traces for finite group actions on schemes of finite type over an algebraically closed field. We also discuss applications to fixed point sets. Our results generalize previous results obtained by Deligne, Laumon, Serre and others.
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