TWO APPLICATIONS OF THE INTEGRAL REGULATOR

Matt Kerr; Muxi Li

doi:10.2140/pjm.2020.306.539

TWO APPLICATIONS OF THE INTEGRAL REGULATOR

Matt Kerr
, Muxi Li

Department of Mathematics

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

3 Scopus citations

Abstract

We review Li’s refinement of the KLM regulator map, and use it to detect torsion phenomena in higher Chow groups of number fields and families of elliptic curves.

Original language	English
Pages (from-to)	539-556
Number of pages	18
Journal	Pacific Journal of Mathematics
Volume	306
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2020.306.539
State	Published - Jun 2020

Keywords

14C25
14C30
19E15
higher Chow group
integral regulator
normal function
regulator map

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10.2140/pjm.2020.306.539

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title = "TWO APPLICATIONS OF THE INTEGRAL REGULATOR",

abstract = "We review Li{\textquoteright}s refinement of the KLM regulator map, and use it to detect torsion phenomena in higher Chow groups of number fields and families of elliptic curves.",

keywords = "14C25, 14C30, 19E15, higher Chow group, integral regulator, normal function, regulator map",

author = "Matt Kerr and Muxi Li",

note = "Publisher Copyright: {\textcopyright} 2020 Mathematical Sciences Publishers",

year = "2020",

month = jun,

doi = "10.2140/pjm.2020.306.539",

language = "English",

volume = "306",

pages = "539--556",

journal = "Pacific Journal of Mathematics",

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TY - JOUR

T1 - TWO APPLICATIONS OF THE INTEGRAL REGULATOR

AU - Kerr, Matt

AU - Li, Muxi

PY - 2020/6

Y1 - 2020/6

N2 - We review Li’s refinement of the KLM regulator map, and use it to detect torsion phenomena in higher Chow groups of number fields and families of elliptic curves.

AB - We review Li’s refinement of the KLM regulator map, and use it to detect torsion phenomena in higher Chow groups of number fields and families of elliptic curves.

KW - 14C25

KW - 14C30

KW - 19E15

KW - higher Chow group

KW - integral regulator

KW - normal function

KW - regulator map

UR - https://www.scopus.com/pages/publications/85098487543

U2 - 10.2140/pjm.2020.306.539

DO - 10.2140/pjm.2020.306.539

M3 - Article

AN - SCOPUS:85098487543

SN - 0030-8730

VL - 306

SP - 539

EP - 556

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

TWO APPLICATIONS OF THE INTEGRAL REGULATOR

Abstract

Keywords

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