Bellamy, G. and Schedler, T. (2016) On the (non)existence of symplectic resolutions of linear quotients. Mathematical Research Letters, 23(6), pp. 1537-1564. (doi: 10.4310/MRL.2016.v23.n6.a1)
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Abstract
We study the existence of symplectic resolutions of quotient singularities V/GV/G, where VV is a symplectic vector space and GG acts symplectically. Namely, we classify the symplectically irreducible and imprimitive groups, excluding those of the form K⋊S2K⋊S2 where K<SL2(C)K<SL2(C), for which the corresponding quotient singularity admits a projective symplectic resolution. As a consequence, for dimV≠4dimV≠4, we classify all symplectically irreducible quotient singularities V/GV/G admitting a projective symplectic resolution, except for at most four explicit singularities, that occur in dimensions at most 1010, for which the question of existence remains open.
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: | Mathematical Research Letters |
Publisher: | International Press |
ISSN: | 1073-2780 |
ISSN (Online): | 1945-001X |
Copyright Holders: | Copyright © 2016 International Press |
First Published: | First published in Mathematical Research Letters 23(6):1537-1564 |
Publisher Policy: | Reproduced with the permission of the publisher. |
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