Proves the Pappas-Rapoport conjecture on canonical integral models of Hodge-type Shimura varieties with quasi-parahoric level at p, shows uniformization by integral local Shimura varieties, and proves the Kisin-Pappas conjecture on local model diagrams.
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The paper constructs a surjective analytic morphism from the character variety of the analytic fundamental group of A onto the moduli space M_{0,r}(A) of semistable vector bundles with vanishing Chern classes that tropicalizes, providing a non-Archimedean uniformization.
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On a conjecture of Pappas and Rapoport
Proves the Pappas-Rapoport conjecture on canonical integral models of Hodge-type Shimura varieties with quasi-parahoric level at p, shows uniformization by integral local Shimura varieties, and proves the Kisin-Pappas conjecture on local model diagrams.
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Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization
The paper constructs a surjective analytic morphism from the character variety of the analytic fundamental group of A onto the moduli space M_{0,r}(A) of semistable vector bundles with vanishing Chern classes that tropicalizes, providing a non-Archimedean uniformization.