Toric Regulators

Amnon Besser, Wayne Raskind

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-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 languageEnglish
Title of host publicationProgress in Mathematics
PublisherBirkhauser
Pages91-120
Number of pages30
DOIs
StatePublished - 1 Jan 2021

Publication series

NameProgress in Mathematics
Volume338
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Keywords

  • Regulators
  • motivic cohomology
  • syntomic cohomology
  • totally degenerate reduction
  • étale cohomology

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