Milnor–Witt motivic cohomology of complements of hyperplane arrangements
Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3531-3552
Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
We compute the (total) Milnor–Witt motivic cohomology of the complement of a hyperplane arrangement in an affine space as an algebra with given generators and relations. We also obtain some corollaries by realization to classical cohomology.
Keywords:
Milnor–Witt motivic cohomology, hyperplane arrangements,
$I$–cohomology, real realization
Affiliations des auteurs :
Peng, Keyao 1
@article{10_2140_agt_2023_23_3531,
author = {Peng, Keyao},
title = {Milnor{\textendash}Witt motivic cohomology of complements of hyperplane arrangements},
journal = {Algebraic and Geometric Topology},
pages = {3531--3552},
publisher = {mathdoc},
volume = {23},
number = {8},
year = {2023},
doi = {10.2140/agt.2023.23.3531},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3531/}
}
TY - JOUR AU - Peng, Keyao TI - Milnor–Witt motivic cohomology of complements of hyperplane arrangements JO - Algebraic and Geometric Topology PY - 2023 SP - 3531 EP - 3552 VL - 23 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3531/ DO - 10.2140/agt.2023.23.3531 ID - 10_2140_agt_2023_23_3531 ER -
%0 Journal Article %A Peng, Keyao %T Milnor–Witt motivic cohomology of complements of hyperplane arrangements %J Algebraic and Geometric Topology %D 2023 %P 3531-3552 %V 23 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3531/ %R 10.2140/agt.2023.23.3531 %F 10_2140_agt_2023_23_3531
Peng, Keyao. Milnor–Witt motivic cohomology of complements of hyperplane arrangements. Algebraic and Geometric Topology, Tome 23 (2023) no. 8, pp. 3531-3552. doi: 10.2140/agt.2023.23.3531
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