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- W4300528097 abstract "In our previous paper Strata Hasse invariants, Hecke algebras and Galois representations, initially motivated by questions about the Hodge line bundle of a Hodge-type Shimura variety, we singled out a generalization of the notion of {em minuscule character} which we termed {em quasi-constant}. Here we prove that the character of the Hodge line bundle is always quasi-constant. Furthermore, we classify the quasi-constant characters of an arbitrary connected, reductive group over an arbitrary field. As an application, we observe that, if $mu$ is a quasi-constant cocharacter of an ${mathbf F}_p$-group $G$, then our construction of group-theoretical Hasse invariants in loc. cit. applies to the stack $Gmbox{-Zip}^{mu}$, without any restrictions on $p$, even if the pair $(G, mu)$ is not of Hodge type and even if $mu$ is not minuscule. We conclude with a more speculative discussion of some further motivation for considering quasi-constant cocharacters in the setting of our program outlined in loc cit." @default.
- W4300528097 created "2022-10-03" @default.
- W4300528097 creator A5000106412 @default.
- W4300528097 creator A5017276144 @default.
- W4300528097 date "2017-08-24" @default.
- W4300528097 modified "2023-10-16" @default.
- W4300528097 title "Quasi-constant characters: Motivation, classification and applications" @default.
- W4300528097 doi "https://doi.org/10.48550/arxiv.1708.07316" @default.
- W4300528097 hasPublicationYear "2017" @default.
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