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DC Field | Value | Language |
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dc.contributor.author | Buchweitz, Ragnar-Olaf | - |
dc.contributor.author | Leuschke, Graham J. | - |
dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.date.accessioned | 2016-09-19T14:02:07Z | - |
dc.date.available | 2016-09-19T14:02:07Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES,(9), p. 2748-2812 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | http://hdl.handle.net/1942/22057 | - |
dc.description.abstract | In our paper "Non-commutative desingularization of determinantal varieties I", we constructed and studied non-commutative resolutions of determinantal varieties defined by maximal minors. At the end of the introduction, we asserted that the results could be generalized to determinantal varieties defined by non-maximal minors, at least in characteristic zero. In this paper, we prove theexistence of non-commutative resolutions in the general case in a manner which is still characteristic free, and carry out the explicit description by generators and relations in characteristic zero. As an application of our results, we prove that there is a fully faithful embedding between the bounded derived categories of the two canonical (commutative) resolutions of a determinantal variety, confirming a well-known conjecture of Bondal and Orlov in this special case. | - |
dc.description.sponsorship | The first author was partly supported by NSERC grant 3-642-114-80. The second author was partly supported by National Science Foundation grant DMS 0902119 and National Security Agency grant H98230-05-1-0032. The third author is director of research at the FWO. Part of this research was supported through the program "Research in Pairs" by the Mathematisches Forschungsinstitut Oberwolfach in 2012, and part was carried out at the Mathematical Sciences Research Institute in 2013 with the support of the National Science Foundation under Grant No. 0932078 000. We thank both institutes for their hospitality. | - |
dc.language.iso | en | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.rights | © The Author(s) 2015. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com. | - |
dc.title | Non-commutative Desingularization of Determinantal Varieties, II: Arbitrary Minors | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 2812 | - |
dc.identifier.issue | 9 | - |
dc.identifier.spage | 2748 | - |
local.format.pages | 65 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Buchweitz, Ragnar-Olaf] Univ Toronto Scarborough, Dept Comp & Math Sci, Toronto, ON M1C 1A4, Canada. [Leuschke, Graham J.] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA. [Van den Bergh, Michel] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium. | - |
local.publisher.place | OXFORD | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1093/imrn/rnv207 | - |
dc.identifier.isi | 000379774900006 | - |
item.fullcitation | Buchweitz, Ragnar-Olaf; Leuschke, Graham J. & VAN DEN BERGH, Michel (2016) Non-commutative Desingularization of Determinantal Varieties, II: Arbitrary Minors. In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES,(9), p. 2748-2812. | - |
item.validation | ecoom 2017 | - |
item.contributor | Buchweitz, Ragnar-Olaf | - |
item.contributor | Leuschke, Graham J. | - |
item.contributor | VAN DEN BERGH, Michel | - |
item.fulltext | With Fulltext | - |
item.accessRights | Restricted Access | - |
crisitem.journal.issn | 1073-7928 | - |
crisitem.journal.eissn | 1687-0247 | - |
Appears in Collections: | Research publications |
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buchweitz2015.pdf Restricted Access | Published version | 601.13 kB | Adobe PDF | View/Open Request a copy |
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