Tange, R orcid.org/0000-0003-0867-1573 (2018) Embeddings of spherical homogeneous spaces in characteristic p. Mathematische Zeitschrift, 288 (1-2). pp. 491-508. ISSN 0025-5874
Abstract
Let G be a reductive group over an algebraically closed field of characteristic p>0. We study properties of embeddings of spherical homogeneous G-spaces. We look at Frobenius splittings, canonical or by a (p−1)-th power, compatible with certain subvarieties. We show the existence of rational G-equivariant resolutions by toroidal embeddings, and give results about cohomology vanishing and surjectivity of restriction maps of global sections of line bundles. We show that the class of homogeneous spaces for which our results hold contains the symmetric homogeneous spaces in characteristic ≠2 and is closed under parabolic induction.
Metadata
Item Type: | Article |
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Authors/Creators: | |
Copyright, Publisher and Additional Information: | © 2017, The Author(s). This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
Keywords: | Equivariant embedding; Spherical homogeneous space; Frobenius splitting |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 21 Feb 2017 12:25 |
Last Modified: | 23 Jun 2023 22:24 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s00209-017-1897-9 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112566 |