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Lefschetz trace formula for open adic spaces
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Yoichi Mieda
Published/Copyright:
January 29, 2013
Abstract
In this article, we discuss the Lefschetz trace formula for an adic space which is separated smooth of finite type but not necessarily proper over an algebraically closed non-archimedean field. Under the condition that there is no set-theoretical fixed point on the boundary, we obtain a fixed point formula. As an application, we can establish a trace formula for some formal schemes, which is applicable to some Rapoport–Zink towers. A partial generalization of Fujiwara's trace formula for contracting morphisms is also given.
Funding source: JSPS KAKENHI
Award Identifier / Grant number: 21740022
The author would like to thank an anonymous referee for valuable comments.
Received: 2011-10-3
Published Online: 2013-1-29
Published in Print: 2014-9-1
© 2014 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The Oseen–Navier–Stokes flow in the exterior of a rotating obstacle: The non-autonomous case
- Macdonald formula for curves with planar singularities
- Geometry of orbit spaces of proper Lie groupoids
- Lefschetz trace formula for open adic spaces
- Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory
- Almost harmonic Maass forms and Kac–Wakimoto characters
- Optimal isoperimetric inequalities for complete proper minimal submanifolds in hyperbolic space
- Unique Cartan decomposition for II1 factors arising from arbitrary actions of hyperbolic groups
- Addendum: Hybrid bounds for twisted L-functions
Articles in the same Issue
- Frontmatter
- The Oseen–Navier–Stokes flow in the exterior of a rotating obstacle: The non-autonomous case
- Macdonald formula for curves with planar singularities
- Geometry of orbit spaces of proper Lie groupoids
- Lefschetz trace formula for open adic spaces
- Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory
- Almost harmonic Maass forms and Kac–Wakimoto characters
- Optimal isoperimetric inequalities for complete proper minimal submanifolds in hyperbolic space
- Unique Cartan decomposition for II1 factors arising from arbitrary actions of hyperbolic groups
- Addendum: Hybrid bounds for twisted L-functions
