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.
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
@article{10_4171_dm_911,
author = {Andrea Di Lorenzo and Lorenzo Mantovani},
title = {Equivariant {Chow{\textendash}Witt} groups and moduli stacks of elliptic curves},
journal = {Documenta mathematica},
pages = {315--368},
year = {2023},
volume = {28},
number = {2},
doi = {10.4171/dm/911},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/911/}
}
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