Minors and Categorical Resolutions

Igor Burban (), Yuriy Drozd () and Volodymyr Gavran ()
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Igor Burban: Mathematical Institute of the University of Cologne
Yuriy Drozd: Institute of Mathematics of the National Academy of Sciences of Ukraine
Volodymyr Gavran: Institute of Mathematics of the National Academy of Sciences of Ukraine

A chapter in Singularities and Computer Algebra, 2017, pp 71-95 from Springer

Abstract: Abstract We define minors of non-commutative schemes and study their properties. It is then applied to the study of a special class of non-commutative schemes, called quasi-hereditary, and to a construction of categorical resolutions for singular curves (maybe, non-commutative). In the rational case, this categorical resolution is realized by a finite dimensional quasi-hereditary algebra.

Keywords: Bilocalization; Categorical resolution; Derived categories; Minors; Non-commutative schemes; Quasi-hereditary schemes (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28829-1_4

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DOI: 10.1007/978-3-319-28829-1_4

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