Preserving the Homotopy Invariance of Presheaves with Witt-Transfers Under Nisnevich Sheafication
Gespeichert in:
Verfasser / Beitragende:
[A. Druzhinin]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/4(2015-09-01), 555-563
Format:
Artikel (online)
Online Zugang:
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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 100 |E 1- |a Druzhinin |D A. |u St.Petersburg State University, St.Petersburg, Russia |4 aut | ||
| 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 | ||