Geodesic
Homotopy Invariance of Nisnevich Sheaves with Milnor-Witt Transfers
Documenta mathematica, Tome 24 (2019), pp. 2339-2379
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

The category of finite Milnor-Witt correspondences, introduced by Calmès and Fasel, provides a new type of correspondences closer to the motivic homotopy theoretic framework than Suslin-Voevodsky's finite correspondences. A fundamental result in the theory of ordinary correspondences concerns homotopy invariance of sheaves with transfers, and in the present paper we address this question in the setting of Milnor-Witt correspondences. Employing techniques due to Druzhinin, Fasel-Østvær and Garkusha-Panin, we show that homotopy invariance of presheaves with Milnor-Witt transfers is preserved under Nisnevich sheafification.
DOI : 10.4171/dm/727
Classification : 14F06, 14F20, 14F35, 14F42, 19E15
Mots-clés : motives, motivic homotopy theory, Chow-Witt groups, Milnor-Witt K-theory 
@article{10_4171_dm_727,
     author = {H\r{a}kon Kolderup},
     title = {Homotopy {Invariance} of {Nisnevich} {Sheaves} with {Milnor-Witt} {Transfers}},
     journal = {Documenta mathematica},
     pages = {2339--2379},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/727},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/727/}
}
TY  - JOUR
AU  - Håkon Kolderup
TI  - Homotopy Invariance of Nisnevich Sheaves with Milnor-Witt Transfers
JO  - Documenta mathematica
PY  - 2019
SP  - 2339
EP  - 2379
VL  - 24
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/727/
DO  - 10.4171/dm/727
ID  - 10_4171_dm_727
ER  - 
%0 Journal Article
%A Håkon Kolderup
%T Homotopy Invariance of Nisnevich Sheaves with Milnor-Witt Transfers
%J Documenta mathematica
%D 2019
%P 2339-2379
%V 24
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/727/
%R 10.4171/dm/727
%F 10_4171_dm_727
Håkon Kolderup. Homotopy Invariance of Nisnevich Sheaves with Milnor-Witt Transfers. Documenta mathematica, Tome 24 (2019), pp. 2339-2379. doi: 10.4171/dm/727

Cité par Sources :