2010/02/10 by Shun Tang, Tang, Shun
Mathematics · #14C40 #14G40 #14L30 #58J20 #58J52 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C40 #msc:14G40 #msc:14L30 #msc:58J20 #msc:58J52
paper · pdf · doi:10.48550/arxiv.1002.2142
60 pages
arxiv created 2011/02/22 · arxiv updated 2011/02/23
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. Rössler.