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 -