Abstract
This chapter contains an elementary discussion of Hecke operators and Frobenii operating on locally constant systems on A g , and we do not pretend to have proved any serious theorem here. Difficulties arise on two sides: in geometry, with the Lefschetz trace formula for Hecke correspondences and in the harmonic analysis, with the Selberg trace formula for automorphic representations of the symplectic group. Both call for further work.
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© 1990 Springer-Verlag Berlin Heidelberg
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Faltings, G., Chai, CL. (1990). Hecke Operators and Frobenii. In: Degeneration of Abelian Varieties. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02632-8_7
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DOI: https://doi.org/10.1007/978-3-662-02632-8_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08088-3
Online ISBN: 978-3-662-02632-8
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