Non-commutative crepant resolutions are algebraic objects defined by Van den Bergh to realize an equivalence of derived categories in birational geometry. They are motivated by tilting theory, the McKay correspondence, and the minimal model program, and have applications to string theory and representation theory. In this expository article I situate Van den Bergh\u27s definition within these contexts and describe some of the current research in the area
Let G be a finite group of automorphisms of a nonsingular complex threefold M such that the canonica...
We prove a version of the classical ‘generic smoothness’ theorem with smooth varieties replaced by ...
This volume contains selected works of Alexander Rosenberg centering on his theory of noncommutative...
Non-commutative crepant resolutions are algebraic objects defined by Van den Bergh to realize an equ...
AbstractWe study obstructions to existence of non-commutative crepant resolutions, in the sense of V...
In this paper we study endomorphism rings of finite global dimension over not necessarily normal com...
AbstractWe suggest a twisted version of the categorical McKay correspondence and prove several resul...
This thesis concerns some interactions between algebraic geometry and noncommutative algebra in a c...
We develop noncommutative field theory, starting from a very basic background and explore recent and...
This is the first of two volumes of a state-of-the-art survey article collection which originates fr...
We develop the theory of minors of non-commutative schemes. This study is motivated by applications ...
Let R be a normal, equi-codimensional Cohen–Macaulay ring of dimension d ≥ 2 with a canonical modul...
Let A be a Cohen-Macaulay normal domain. A non-commutative crepant resolution (NCCR) of A is an A-al...
AbstractWe present an algorithm that finds all toric noncommutative crepant resolutions of a given t...
In our paper Non-commutative desingularization of determinantal varieties, I we constructed and st...
Let G be a finite group of automorphisms of a nonsingular complex threefold M such that the canonica...
We prove a version of the classical ‘generic smoothness’ theorem with smooth varieties replaced by ...
This volume contains selected works of Alexander Rosenberg centering on his theory of noncommutative...
Non-commutative crepant resolutions are algebraic objects defined by Van den Bergh to realize an equ...
AbstractWe study obstructions to existence of non-commutative crepant resolutions, in the sense of V...
In this paper we study endomorphism rings of finite global dimension over not necessarily normal com...
AbstractWe suggest a twisted version of the categorical McKay correspondence and prove several resul...
This thesis concerns some interactions between algebraic geometry and noncommutative algebra in a c...
We develop noncommutative field theory, starting from a very basic background and explore recent and...
This is the first of two volumes of a state-of-the-art survey article collection which originates fr...
We develop the theory of minors of non-commutative schemes. This study is motivated by applications ...
Let R be a normal, equi-codimensional Cohen–Macaulay ring of dimension d ≥ 2 with a canonical modul...
Let A be a Cohen-Macaulay normal domain. A non-commutative crepant resolution (NCCR) of A is an A-al...
AbstractWe present an algorithm that finds all toric noncommutative crepant resolutions of a given t...
In our paper Non-commutative desingularization of determinantal varieties, I we constructed and st...
Let G be a finite group of automorphisms of a nonsingular complex threefold M such that the canonica...
We prove a version of the classical ‘generic smoothness’ theorem with smooth varieties replaced by ...
This volume contains selected works of Alexander Rosenberg centering on his theory of noncommutative...
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