Lefschetz trace formula for open adic spaces - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: In this article, we discuss the Lefschetz trace formula for an adic spacewhich is separated smooth of finite type but not necessarily proper over analgebraically closed non-archimedean field. Under a certain condition on theabsence of set-theoretical fixed points on the boundary, we obtain a fixedpoint formula. As an application, we can establish a trace formula for someformal schemes, which is applicable to the Rapoport-Zink tower for GSp4. Apartial generalization of Fujiwara-s trace formula for contracting morphisms isalso given.



Author: Yoichi Mieda

Source: https://arxiv.org/







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