Bellamy, G. and Schedler, T. (2013) A new linear quotient of C^4 admitting a symplectic resolution. Mathematische Zeitschrift, 273(3-4), pp. 753-769. (doi: 10.1007/s00209-012-1028-6)
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Abstract
We show that the quotient C^4/G admits a symplectic resolution for G = (Q_8 x D_8)/(Z/2) < Sp(4,C). Here Q_8 is the quaternionic group of order eight and D_8 is the dihedral group of order eight, and G is the quotient of their direct product which identifies the nontrivial central elements -1 of each. It is equipped with the tensor product of the defining two-dimensional representations of Q_8 and D_8. This group is also naturally a subgroup of the wreath product group of Q_8 by S_2. We compute the singular locus of the family of commutative spherical symplectic reflection algebras deforming C^4/G. We also discuss preliminary investigations on the more general question of classifying linear quotients V / G admitting symplectic resolutions.
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. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Mathematische Zeitschrift |
Publisher: | Springer Link |
ISSN: | 0025-5874 |
ISSN (Online): | 1432-1823 |
Published Online: | 01 January 2013 |
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