Geodesic
Automorphic vector bundles on the stack of G-zips
Forum of Mathematics, Sigma, Tome 9 (2021)

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For a connected reductive group G over a finite field, we study automorphic vector bundles on the stack of G-zips. In particular, we give a formula in the general case for the space of global sections of an automorphic vector bundle in terms of the Brylinski-Kostant filtration. Moreover, we give an equivalence of categories between the category of automorphic vector bundles on the stack of G-zips and a category of admissible modules with actions of a 0-dimensional algebraic subgroup a Levi subgroup and monodromy operators. 
@article{10_1017_fms_2021_32,
     author = {Naoki Imai and Jean-Stefan Koskivirta},
     title = {Automorphic vector bundles on the stack of {G-zips}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {9},
     year = {2021},
     doi = {10.1017/fms.2021.32},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.32/}
}
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Naoki Imai; Jean-Stefan Koskivirta. Automorphic vector bundles on the stack of G-zips. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.32

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