Torsion in the Lichtenbaum Chow group of arithmetic schemes

A. Rosenschon; V. Srinivas

doi:10.4310/MRL.2015.v22.n5.a10

Torsion in the Lichtenbaum Chow group of arithmetic schemes

A. Rosenschon
, V. Srinivas

Mathematics

Ludwig Maximilian University of Munich

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

Abstract

We give an example of a smooth arithmetic scheme X → B over the spectrum of a Dedekind domain and primes p with the property that the p-primary torsion subgroup of the Lichtenbaum Chow group CH²_L(X){p} has positive corank. This also implies that the unramified cohomology group H³_nr(X,ℚ_p/ℤ_p(2)) is infinite.

Original language	English
Pages (from-to)	1491-1507
Number of pages	17
Journal	Mathematical Research Letters
Volume	22
Issue number	5
DOIs	https://doi.org/10.4310/MRL.2015.v22.n5.a10
State	Published - 2015

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10.4310/MRL.2015.v22.n5.a10

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title = "Torsion in the Lichtenbaum Chow group of arithmetic schemes",

abstract = "We give an example of a smooth arithmetic scheme X → B over the spectrum of a Dedekind domain and primes p with the property that the p-primary torsion subgroup of the Lichtenbaum Chow group CH2L(X)\{p\} has positive corank. This also implies that the unramified cohomology group H3nr(X,ℚp/ℤp(2)) is infinite.",

author = "A. Rosenschon and V. Srinivas",

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AU - Rosenschon, A.

AU - Srinivas, V.

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N2 - We give an example of a smooth arithmetic scheme X → B over the spectrum of a Dedekind domain and primes p with the property that the p-primary torsion subgroup of the Lichtenbaum Chow group CH2L(X){p} has positive corank. This also implies that the unramified cohomology group H3nr(X,ℚp/ℤp(2)) is infinite.

AB - We give an example of a smooth arithmetic scheme X → B over the spectrum of a Dedekind domain and primes p with the property that the p-primary torsion subgroup of the Lichtenbaum Chow group CH2L(X){p} has positive corank. This also implies that the unramified cohomology group H3nr(X,ℚp/ℤp(2)) is infinite.

UR - https://www.scopus.com/pages/publications/84964944577

U2 - 10.4310/MRL.2015.v22.n5.a10

DO - 10.4310/MRL.2015.v22.n5.a10

M3 - Article

AN - SCOPUS:84964944577

SN - 1073-2780

VL - 22

SP - 1491

EP - 1507

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 5

ER -

Torsion in the Lichtenbaum Chow group of arithmetic schemes

Abstract

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