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Milnor–Witt motivic
cohomology of complements of hyperplane arrangements
Keyao Peng |
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Algebraic & Geometric Topology 23 (2023) 3531–3552
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Abstract |
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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
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Mathematical Subject Classification
Primary: 14C25, 14F42, 19E15
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References |
Publication
Received: 19 November 2020
Revised: 12 December 2021
Accepted: 13 January 2022
Published: 5 November 2023
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Authors |
| Keyao Peng | |
| Institut Fourier Université Grenoble Alpes Grenoble France |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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