Chern subrings

Masaki Kameko; Nobuaki Yagita

doi:10.1090/S0002-9939-09-10042-4

Chern subrings

Masaki Kameko, Nobuaki Yagita

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

5 Citations (Scopus)

Abstract

Let p be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has ptorsion, the Chern classes do not generate the Chow ring of its classifying space.

Original language	English
Pages (from-to)	367-373
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-09-10042-4
Publication status	Published - 2010 Jan
Externally published	Yes

Keywords

Chern class
Chow ring
Classifying space
Motivic cohomology

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-09-10042-4

Cite this

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title = "Chern subrings",

abstract = "Let p be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has ptorsion, the Chern classes do not generate the Chow ring of its classifying space.",

keywords = "Chern class, Chow ring, Classifying space, Motivic cohomology",

author = "Masaki Kameko and Nobuaki Yagita",

year = "2010",

month = jan,

doi = "10.1090/S0002-9939-09-10042-4",

language = "English",

volume = "138",

pages = "367--373",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

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T1 - Chern subrings

AU - Kameko, Masaki

AU - Yagita, Nobuaki

PY - 2010/1

Y1 - 2010/1

N2 - Let p be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has ptorsion, the Chern classes do not generate the Chow ring of its classifying space.

AB - Let p be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has ptorsion, the Chern classes do not generate the Chow ring of its classifying space.

KW - Chern class

KW - Chow ring

KW - Classifying space

KW - Motivic cohomology

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DO - 10.1090/S0002-9939-09-10042-4

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VL - 138

SP - 367

EP - 373

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

Chern subrings

Abstract

Keywords

ASJC Scopus subject areas

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