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On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains. / Panin, I. A.; Stavrova, A. K.

In: Journal of Mathematical Sciences (United States), Vol. 222, No. 4, 01.04.2017, p. 453-462.

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

Harvard

Panin, IA & Stavrova, AK 2017, 'On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains', Journal of Mathematical Sciences (United States), vol. 222, no. 4, pp. 453-462. https://doi.org/10.1007/s10958-017-3316-5

APA

Panin, I. A., & Stavrova, A. K. (2017). On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains. Journal of Mathematical Sciences (United States), 222(4), 453-462. https://doi.org/10.1007/s10958-017-3316-5

Vancouver

Panin IA, Stavrova AK. On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains. Journal of Mathematical Sciences (United States). 2017 Apr 1;222(4):453-462. https://doi.org/10.1007/s10958-017-3316-5

Author

Panin, I. A. ; Stavrova, A. K. / On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains. In: Journal of Mathematical Sciences (United States). 2017 ; Vol. 222, No. 4. pp. 453-462.

BibTeX

@article{9c47904084d44740a1f4501bb82b5327,
title = "On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains",
abstract = "Let R be a semilocal Dedekind domain, and let K be the field of fractions of R. Let G be a reductive semisimple simply connected R-group scheme such that every semisimple normal R-subgroup scheme of G contains a split R-torus Gm , R. It is proved that the kernel of the map(Formula Presanted.)induced by the inclusion of R into K is trivial. This result partially extends the Nisnevich theorem.",
author = "Panin, {I. A.} and Stavrova, {A. K.}",
year = "2017",
month = apr,
day = "1",
doi = "10.1007/s10958-017-3316-5",
language = "English",
volume = "222",
pages = "453--462",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains

AU - Panin, I. A.

AU - Stavrova, A. K.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - Let R be a semilocal Dedekind domain, and let K be the field of fractions of R. Let G be a reductive semisimple simply connected R-group scheme such that every semisimple normal R-subgroup scheme of G contains a split R-torus Gm , R. It is proved that the kernel of the map(Formula Presanted.)induced by the inclusion of R into K is trivial. This result partially extends the Nisnevich theorem.

AB - Let R be a semilocal Dedekind domain, and let K be the field of fractions of R. Let G be a reductive semisimple simply connected R-group scheme such that every semisimple normal R-subgroup scheme of G contains a split R-torus Gm , R. It is proved that the kernel of the map(Formula Presanted.)induced by the inclusion of R into K is trivial. This result partially extends the Nisnevich theorem.

UR - http://www.scopus.com/inward/record.url?scp=85014763197&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3316-5

DO - 10.1007/s10958-017-3316-5

M3 - Article

AN - SCOPUS:85014763197

VL - 222

SP - 453

EP - 462

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 36268647