Bellamy, G. and Schedler, T. (2019) On symplectic resolutions and factoriality of Hamiltonian reductions. Mathematische Annalen, 375(1-2), pp. 165-176. (doi: 10.1007/s00208-019-01851-2)
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Abstract
Recently, Herbig--Schwarz--Seaton have shown that 3-large representations of a reductive group G give rise to a large class of symplectic singularities via Hamiltonian reduction. We show that these singularities are always terminal. We show that they are Q-factorial if and only if G has finite abelianization. When G is connected and semi-simple, we show they are actually locally factorial. As a consequence, the symplectic singularities do not admit symplectic resolutions when G is semi-simple. We end with some open questions.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bellamy, Professor Gwyn |
| Authors: | Bellamy, G., and Schedler, T. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematische Annalen |
| Publisher: | Springer |
| ISSN: | 0025-5831 |
| ISSN (Online): | 1432-1807 |
| Published Online: | 14 June 2019 |
| Copyright Holders: | Copyright © 2019 The Authors |
| First Published: | First published in Mathematische Annalen 375(1-2):165-176 |
| Publisher Policy: | Reproduced under a Creative Commons License |
| Related URLs: |
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