Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik. (German) Zbl 0498.14010

Rapoport, M.; Zink, Th.

Invent. Math. 68, 21-101 (1982).

MSC:

14G10	Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
11F27	Theta series; Weil representation; theta correspondences
11F70	Representation-theoretic methods; automorphic representations over local and global fields
14F20	Étale and other Grothendieck topologies and (co)homologies
14J25	Special surfaces
14G25	Global ground fields in algebraic geometry

Keywords:

Hasse-Weil zeta function; monodromy filtration; local zeta function; Shimura varieties of dimension 2; places of bad reduction; automorphic L- functions; vanishing cycles; stability of trace formula

Citations:

Zbl 0469.22014; Zbl 0483.14006; Zbl 0219.14006; Zbl 0303.14002; Zbl 0312.14007

References:

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