A new linear quotient of C 4 admitting a symplectic resolution
C2 C2 ∼= C4.
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer-Verlag
2016
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| Online Access: | http://hdl.handle.net/1721.1/104945 |
| _version_ | 1826207901824319488 |
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| author | Bellamy, Gwyn Schedler, Travis |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Bellamy, Gwyn Schedler, Travis |
| author_sort | Bellamy, Gwyn |
| collection | MIT |
| description | C2 C2 ∼= C4. |
| first_indexed | 2024-09-23T13:56:45Z |
| format | Article |
| id | mit-1721.1/104945 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:56:45Z |
| publishDate | 2016 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1049452022-09-28T17:18:49Z A new linear quotient of C 4 admitting a symplectic resolution Bellamy, Gwyn Schedler, Travis Massachusetts Institute of Technology. Department of Mathematics Schedler, Travis C2 C2 ∼= C4. We show that the quotient C[superscript 4]/G admits a symplectic resolution for G = Q[subscript 8] x [subscript Z/2]D[subscript 8] < Sp[subscript 4](C). Here Q[subscript 8] is the quaternionic group of order eight and D[subscript 8] is the dihedral group of order eight, and G is the quotient of their direct product which identifies the nontrivial central elements −Id of each. It is equipped with the tensor product representation C[superscript 2] ⊠ C[superscript 2] ≅ C[superscript 4]. This group is also naturally a subgroup of the wreath product group Q[superscript 8][subscript 2] ⋊ S[subscript 2] < Sp[subscript 4](C). We compute the singular locus of the family of commutative spherical symplectic reflection algebras deforming C[superscript 4]/G. We also discuss preliminary investigations on the more general question of classifying linear quotients V/G admitting symplectic resolutions. 2016-10-24T16:50:25Z 2016-10-24T16:50:25Z 2012-04 2012-08 2016-08-18T15:23:52Z Article http://purl.org/eprint/type/JournalArticle 0025-5874 1432-1823 http://hdl.handle.net/1721.1/104945 Bellamy, Gwyn, and Travis Schedler. “A New Linear Quotient of C 4 Admitting a Symplectic Resolution.” Mathematische Zeitschrift 273.3–4 (2013): 753–769. en http://dx.doi.org/10.1007/s00209-012-1028-6 Mathematische Zeitschrift Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer-Verlag application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Bellamy, Gwyn Schedler, Travis A new linear quotient of C 4 admitting a symplectic resolution |
| title | A new linear quotient of C 4 admitting a symplectic resolution |
| title_full | A new linear quotient of C 4 admitting a symplectic resolution |
| title_fullStr | A new linear quotient of C 4 admitting a symplectic resolution |
| title_full_unstemmed | A new linear quotient of C 4 admitting a symplectic resolution |
| title_short | A new linear quotient of C 4 admitting a symplectic resolution |
| title_sort | new linear quotient of c 4 admitting a symplectic resolution |
| url | http://hdl.handle.net/1721.1/104945 |
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