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http://hdl.handle.net/1942/24941
Title: | Non-commutative resolutions of quotient singularities for reductive groups | Authors: | SPENKO, Spela VAN DEN BERGH, Michel |
Issue Date: | 2017 | Publisher: | SPRINGER HEIDELBERG | Source: | INVENTIONES MATHEMATICAE, 210(1), p. 3-67 | Abstract: | In this paper we generalize standard results about non-commutative resolutions of quotient singularities for finite groups to arbitrary reductive groups. We show in particular that quotient singularities for reductive groups always have non-commutative resolutions in an appropriate sense. Moreover we exhibit a large class of such singularities which have (twisted) non-commutative crepant resolutions. We discuss a number of examples, both new and old, that can be treated using our methods. Notably we prove that twisted non-commutative crepant resolutions exist in previously unknown cases for determinantal varieties of symmetric and skew-symmetric matrices. In contrast to almost all prior results in this area our techniques are algebraic and do not depend on knowing a commutative resolution of the singularity. | Notes: | [Spenko, Spela] Vrije Univ Brussel, Dept Math, Pleinlaan 2, B-1050 Brussels, Belgium. [Van den Bergh, Michel] Univ Hasselt, Martelarenlaan 42, B-3500 Hasselt, Belgium. | Document URI: | http://hdl.handle.net/1942/24941 | ISSN: | 0020-9910 | e-ISSN: | 1432-1297 | DOI: | 10.1007/s00222-017-0723-7 | ISI #: | 000410787700002 | Rights: | © Springer-Verlag Berlin Heidelberg 2017 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
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