Geodesic
Equivariant Chow–Witt groups and moduli stacks of elliptic curves
Documenta mathematica, Tome 28 (2023) no. 2, pp. 315-368

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We introduce equivariant Chow–Witt groups in order to define Chow–Witt groups of quotient stacks. We compute the Chow–Witt ring of the moduli stack of stable (resp. smooth) elliptic curves, providing a geometric interpretation of the new generators. Along the way, we also determine the Chow–Witt ring of the classifying stack of μ2n​.
DOI : 10.4171/dm/911
Classification : 14F42, 14D23
Mots-clés : Chow–Witt groups, elliptic curves 
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     author = {Andrea Di Lorenzo and Lorenzo Mantovani},
     title = {Equivariant {Chow{\textendash}Witt} groups and moduli stacks of elliptic curves},
     journal = {Documenta mathematica},
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     number = {2},
     year = {2023},
     doi = {10.4171/dm/911},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/911/}
}
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Andrea Di Lorenzo; Lorenzo Mantovani. Equivariant Chow–Witt groups and moduli stacks of elliptic curves. Documenta mathematica, Tome 28 (2023) no. 2, pp. 315-368. doi: 10.4171/dm/911

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