Preserving the Homotopy Invariance of Presheaves with Witt-Transfers Under Nisnevich Sheafication

Verfasser / Beitragende:
[A. Druzhinin]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/4(2015-09-01), 555-563
Format:
Artikel (online)
ID: 605526036
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024 7 0 |a 10.1007/s10958-015-2512-4  |2 doi 
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100 1 |a Druzhinin  |D A.  |u St.Petersburg State University, St.Petersburg, Russia  |4 aut 
245 1 0 |a Preserving the Homotopy Invariance of Presheaves with Witt-Transfers Under Nisnevich Sheafication  |h [Elektronische Daten]  |c [A. Druzhinin] 
520 3 |a In the present paper, it is introduced a category Wor the objects of which are affine smooth varieties over a field k and morphisms are certain variants of finite correspondences. A presheaf of Abelian groups with Witt-transfers is by definition a presheaf of Abelian groups on the category Wor. The homotopy invariance of the Nisnevich sheaf associated with an arbitrary homotopy invariant presheaf with Witt-transfers is proved. To construct a category of Witt-motives one should prove the homotopy invariance of Nisnevich cohomology of an arbitrary homotopy invariant Nisnevich sheaf with Witt-transfers. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/4(2015-09-01), 555-563  |x 1072-3374  |q 209:4<555  |1 2015  |2 209  |o 10958