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- W4366999840 abstract "Let G be a smooth group scheme over $F_p$ equipped with a $G_m$-action such that all weights of $G_m$ on the Lie algebra of G are not greater than 1. Let $Disp_n^G$ be Eike Lau's stack of n-truncated G-displays (this is an algebraic stack over $F_p$). In the case n=1 we introduce an algebraic stack equipped with a morphism to $Disp_1^G$. We conjecture that if G=GL(d) then the new stack is canonically isomorphic to the reduction modulo p of the stack of 1-truncated Barsotti-Tate groups of height d and dimension d', where d' depends on the action of $G_m$ on GL(d). We also discuss how to define an analog of the new stack for n>1 and how to replace $F_p$ by $Z/p^n Z$." @default.
- W4366999840 created "2023-04-27" @default.
- W4366999840 creator A5065065712 @default.
- W4366999840 date "2023-04-23" @default.
- W4366999840 modified "2023-09-25" @default.
- W4366999840 title "On Shimurian generalizations of the stack $BT_1otimes F_p$" @default.
- W4366999840 doi "https://doi.org/10.48550/arxiv.2304.11709" @default.
- W4366999840 hasPublicationYear "2023" @default.
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