Extending torsors on the punctured Spec(<i>A</i> <sub>inf</sub>)-Reference-Cited by-同舟云学术

Extending torsors on the punctured Spec(A _inf)

Published:2022-01-06 Issue:783 Volume:2022 Page:227-268
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Anschütz Johannes¹^ORCID

Affiliation:

1. Mathematisches Institut , Universität Bonn , Endenicher Allee 60, 53115 Bonn , Germany

Abstract

Abstract We prove that torsors under parahoric group schemes on the punctured spectrum of Fontaine’s ring A inf

{A_{\mathrm{inf}}}

, extend to the whole spectrum. Using descent we can extend a similar result for the ring 𝔖

{\mathfrak{S}}

of Kisin and Pappas to full generality. Moreover, we treat similarly the case of equal characteristic. As applications we extend results of Ivanov on exactness of the loop functor and present the construction of a canonical specialization map from the B dR +

{B^{+}_{\mathrm{dR}}}

-affine Grassmannian to the Witt vector affine flag variety.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2021-0077/pdf

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