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

Department 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

Keywords

L-invariant
p-adic integration
p-adic uniformization

ASJC Scopus subject areas

General Mathematics

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10.1007/s40316-015-0047-1

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title = "L -invariants of p-adically uniformized varieties",

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.",

keywords = "L-invariant, p-adic integration, p-adic uniformization",

author = "Amnon Besser and \{de Shalit\}, Ehud",

note = "Publisher Copyright: {\textcopyright} 2015, Fondation Carl-Herz and Springer International Publishing Switzerland.",

year = "2016",

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AU - Besser, Amnon

AU - de Shalit, Ehud

PY - 2016/6/1

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N2 - 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.

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.

KW - L-invariant

KW - p-adic integration

KW - p-adic uniformization

UR - https://www.scopus.com/pages/publications/85020112777

U2 - 10.1007/s40316-015-0047-1

DO - 10.1007/s40316-015-0047-1

M3 - Article

AN - SCOPUS:85020112777

SN - 2195-4755

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JO - Annales Mathematiques du Quebec

JF - Annales Mathematiques du Quebec

IS - 1

ER -

L -invariants of p-adically uniformized varieties

Abstract

Keywords

ASJC Scopus subject areas

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