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Non-commutative desingularization of determinantal varieties I

Tijdschriftbijdrage - Tijdschriftartikel

We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commutative desingularization, in that we construct a maximal Cohen-Macaulay module over such a variety whose endomorphism ring is Cohen-Macaulay and has finite global dimension. In the case of the determinant of a square matrix, this gives a non-commutative crepant resolution.
Tijdschrift: INVENTIONES MATHEMATICAE
ISSN: 0020-9910
Issue: 1
Volume: 182
Pagina's: 47 - 115
Jaar van publicatie:2010
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:10
CSS-citation score:2
Auteurs:International
Authors from:Higher Education
Toegankelijkheid:Closed