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http://hdl.handle.net/1942/24941
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DC Field | Value | Language |
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dc.contributor.author | SPENKO, Spela | - |
dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.date.accessioned | 2017-10-04T14:03:25Z | - |
dc.date.available | 2017-10-04T14:03:25Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | INVENTIONES MATHEMATICAE, 210(1), p. 3-67 | - |
dc.identifier.issn | 0020-9910 | - |
dc.identifier.uri | http://hdl.handle.net/1942/24941 | - |
dc.description.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. | - |
dc.description.sponsorship | Michel Van den Bergh is a senior researcher at the FWO. This research was carried out while the first author was visiting the University of Hasselt supported by the Slovenian Research Agency and in part by the Slovene Human Resources Development and Scholarship Fund. M. Van den Bergh was supported by the FWO Grant 1503512N. | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.rights | © Springer-Verlag Berlin Heidelberg 2017 | - |
dc.title | Non-commutative resolutions of quotient singularities for reductive groups | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 67 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 3 | - |
dc.identifier.volume | 210 | - |
local.format.pages | 65 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.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. | - |
local.publisher.place | HEIDELBERG | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s00222-017-0723-7 | - |
dc.identifier.isi | 000410787700002 | - |
item.validation | ecoom 2018 | - |
item.fullcitation | SPENKO, Spela & VAN DEN BERGH, Michel (2017) Non-commutative resolutions of quotient singularities for reductive groups. In: INVENTIONES MATHEMATICAE, 210(1), p. 3-67. | - |
item.contributor | SPENKO, Spela | - |
item.contributor | VAN DEN BERGH, Michel | - |
item.accessRights | Restricted Access | - |
item.fulltext | With Fulltext | - |
crisitem.journal.issn | 0020-9910 | - |
crisitem.journal.eissn | 1432-1297 | - |
Appears in Collections: | Research publications |
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a.pdf Restricted Access | Published version | 934.21 kB | Adobe PDF | View/Open Request a copy |
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