L -invariants of p-adically uniformized varieties

Amnon Besser; Ehud de Shalit

doi:10.1007/s40316-015-0047-1

L -invariants of p-adically uniformized varieties

Amnon Besser
, Ehud de Shalit^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We construct two types of L-invariants attached to varieties which are uniformized by Drinfeld’s p-adic symmetric domain. The first is cohomological, and the second analytic, depending on a theory of p-adic integration. We conjecture that the two L-invariants coincide, and discuss possible arithmetic applications.

Original language	English
Pages (from-to)	29-54
Number of pages	26
Journal	Annales Mathematiques du Quebec
Volume	40
Issue number	1
DOIs	https://doi.org/10.1007/s40316-015-0047-1
State	Published - 1 Jun 2016

Bibliographical note

Publisher Copyright:
© 2015, Fondation Carl-Herz and Springer International Publishing Switzerland.

Keywords

L-invariant
p-adic integration
p-adic uniformization

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10.1007/s40316-015-0047-1

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abstract = "We construct two types of L-invariants attached to varieties which are uniformized by Drinfeld{\textquoteright}s p-adic symmetric domain. The first is cohomological, and the second analytic, depending on a theory of p-adic integration. We conjecture that the two L-invariants coincide, and discuss possible arithmetic applications.",

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AU - de Shalit, Ehud

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AB - We construct two types of L-invariants attached to varieties which are uniformized by Drinfeld’s p-adic symmetric domain. The first is cohomological, and the second analytic, depending on a theory of p-adic integration. We conjecture that the two L-invariants coincide, and discuss possible arithmetic applications.

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KW - p-adic integration

KW - p-adic uniformization

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L -invariants of p-adically uniformized varieties

Abstract

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Keywords

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