Toric Regulators

Amnon Besser; Wayne Raskind

doi:10.1007/978-3-030-65203-6_4

Toric Regulators

Amnon Besser, Wayne Raskind

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In the mid-19th century, Dirichlet (for quadratic fields) and then Dedekind defined a regulator map relating the units in the ring of integers of an algebraic number field of finite degree over Q with r₁ real embeddings and 2r₂complex embeddings to a lattice of codimension one in a Euclidean space of dimension r₁ + r₂.

Original language	English
Title of host publication	Progress in Mathematics
Publisher	Birkhauser
Pages	91-120
Number of pages	30
DOIs	https://doi.org/10.1007/978-3-030-65203-6_4
State	Published - 1 Jan 2021

Publication series

Name	Progress in Mathematics
Volume	338
ISSN (Print)	0743-1643
ISSN (Electronic)	2296-505X

Keywords

Regulators
motivic cohomology
syntomic cohomology
totally degenerate reduction
étale cohomology

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

Access to Document

10.1007/978-3-030-65203-6_4

Cite this

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AB - In the mid-19th century, Dirichlet (for quadratic fields) and then Dedekind defined a regulator map relating the units in the ring of integers of an algebraic number field of finite degree over Q with r1 real embeddings and 2r2complex embeddings to a lattice of codimension one in a Euclidean space of dimension r1 + r2.

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KW - syntomic cohomology

KW - totally degenerate reduction

KW - étale cohomology

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BT - Progress in Mathematics

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ER -

Toric Regulators

Abstract

Publication series

Keywords

ASJC Scopus subject areas

Access to Document

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