Universität zu Köln

Burban, Igor, Drozd, Yuriy ORCID: 0000-0002-4766-8791 and Gavran, Volodymyr (2017). Minors and resolutions of non-commutative schemes. Eur. J. Math., 3 (2). S. 311 - 342. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 2199-6768

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Abstract

We develop the theory of minors of non-commutative schemes. This study is motivated by applications in the theory of non-commutative resolutions of singularities of commutative schemes. In particular, we construct a categorical resolution for non-commutative curves and in the rational case show that it can be realized as the derived category of a quasi-hereditary algebra.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Burban, Igor UNSPECIFIED UNSPECIFIED UNSPECIFIED Drozd, Yuriy UNSPECIFIED orcid.org/0000-0002-4766-8791 UNSPECIFIED Gavran, Volodymyr UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-228185
DOI:	10.1007/s40879-017-0128-6
Journal or Publication Title:	Eur. J. Math.
Volume:	3
Number:	2
Page Range:	S. 311 - 342
Date:	2017
Publisher:	SPRINGER INTERNATIONAL PUBLISHING AG
Place of Publication:	CHAM
ISSN:	2199-6768
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FINITE DIMENSIONAL ALGEBRAS; TRIANGULATED CATEGORIES; PROJECTIVE CURVES; LOCALIZATION; COMPLEXES; ORDERS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/22818