Bate, Michael Edward orcid.org/0000-0002-6513-2405, Herpel, Sebastian, Martin, Benjamin et al. (1 more author) (2017) Cocharacter-closure and the rational Hilbert-Mumford Theorem. Mathematische Zeitschrift. pp. 39-72. ISSN 1432-1823
Abstract
For a field k, let G be a reductive k-group and V an affine k-variety on which G acts. Using the notion of cocharacter-closed G(k)-orbits in V, we prove a rational version of the celebrated Hilbert–Mumford Theorem from geometric invariant theory. We initiate a study of applications stemming from this rationality tool. A number of examples are discussed to illustrate the concept of cocharacter-closure and to highlight how it differs from the usual Zariski-closure.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Authors, 2016 | ||||
Keywords: | Affine G-variety, Cocharacter-closed orbit, Rationality | ||||
Dates: |
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
Funding Information: |
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Depositing User: | Pure (York) | ||||
Date Deposited: | 14 Nov 2016 16:09 | ||||
Last Modified: | 06 Dec 2023 11:31 | ||||
Published Version: | https://doi.org/10.1007/s00209-016-1816-5 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1007/s00209-016-1816-5 | ||||
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Filename: cochars.pdf
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