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Nisnevich sheafification of a homotopy invariant presheaf with transfers. / Druzhinin, A.

In: St. Petersburg Mathematical Journal, Vol. 29, No. 6, 01.01.2018, p. 863-886.

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

Harvard

Druzhinin, A 2018, 'Nisnevich sheafification of a homotopy invariant presheaf with transfers', St. Petersburg Mathematical Journal, vol. 29, no. 6, pp. 863-886. https://doi.org/10.1090/spmj/1519

APA

Druzhinin, A. (2018). Nisnevich sheafification of a homotopy invariant presheaf with transfers. St. Petersburg Mathematical Journal, 29(6), 863-886. https://doi.org/10.1090/spmj/1519

Vancouver

Druzhinin A. Nisnevich sheafification of a homotopy invariant presheaf with transfers. St. Petersburg Mathematical Journal. 2018 Jan 1;29(6):863-886. https://doi.org/10.1090/spmj/1519

Author

Druzhinin, A. / Nisnevich sheafification of a homotopy invariant presheaf with transfers. In: St. Petersburg Mathematical Journal. 2018 ; Vol. 29, No. 6. pp. 863-886.

BibTeX

@article{feb0c171c5e04148ac5c2dba484d2b5f,
title = "Nisnevich sheafification of a homotopy invariant presheaf with transfers",
abstract = "The definitions of the category of finite Witt-correspondences and of a presheaf with Witt-transfers are given. The injectivity on the affine line, the excision isomorphism on the affine line, and the excision isomorphism for an {\'e}tale morphism of curves are proved. The homotopy invariance of the Nisnevich sheafification Fnis of a homotopy invariant presheave with Witt-transfers F is proved, and the Nisnevich cohomologies Hnis i (U,Fnis) are shown to be trivial for any U ⊃ A1 and i > 0.",
keywords = "Excision isomorphisms, Homotopy invariance, Presheaves with transfers, presheaves with transfers, excision isomorphisms",
author = "A. Druzhinin",
year = "2018",
month = jan,
day = "1",
doi = "10.1090/spmj/1519",
language = "English",
volume = "29",
pages = "863--886",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Nisnevich sheafification of a homotopy invariant presheaf with transfers

AU - Druzhinin, A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The definitions of the category of finite Witt-correspondences and of a presheaf with Witt-transfers are given. The injectivity on the affine line, the excision isomorphism on the affine line, and the excision isomorphism for an étale morphism of curves are proved. The homotopy invariance of the Nisnevich sheafification Fnis of a homotopy invariant presheave with Witt-transfers F is proved, and the Nisnevich cohomologies Hnis i (U,Fnis) are shown to be trivial for any U ⊃ A1 and i > 0.

AB - The definitions of the category of finite Witt-correspondences and of a presheaf with Witt-transfers are given. The injectivity on the affine line, the excision isomorphism on the affine line, and the excision isomorphism for an étale morphism of curves are proved. The homotopy invariance of the Nisnevich sheafification Fnis of a homotopy invariant presheave with Witt-transfers F is proved, and the Nisnevich cohomologies Hnis i (U,Fnis) are shown to be trivial for any U ⊃ A1 and i > 0.

KW - Excision isomorphisms

KW - Homotopy invariance

KW - Presheaves with transfers

KW - presheaves with transfers

KW - excision isomorphisms

UR - http://www.scopus.com/inward/record.url?scp=85054397948&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=38613425

U2 - 10.1090/spmj/1519

DO - 10.1090/spmj/1519

M3 - Article

AN - SCOPUS:85054397948

VL - 29

SP - 863

EP - 886

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 6

ER -

ID: 35960756