A Lefschetz fixed point formula for singular arithmetic schemes with smooth generic fibres
Algebraic Geometry
2011-02-23 v3
Abstract
In this article, we consider singular equivariant arithmetic schemes whose generic fibres are smooth. For such schemes, we prove a relative fixed point formula of Lefschetz type in the context of Arakelov geometry. This formula is an analog, in the arithmetic case, of the Lefschetz formula proved by R. W. Thomason. In particular, our result implies a fixed point formula which was conjectured by V. Maillot and D. R\"{o}ssler.
Keywords
Cite
@article{arxiv.1002.2142,
title = {A Lefschetz fixed point formula for singular arithmetic schemes with smooth generic fibres},
author = {Shun Tang},
journal= {arXiv preprint arXiv:1002.2142},
year = {2011}
}
Comments
60 pages