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arXiv · 1204.0488

Noncommutative desingularization of orbit closures for some representations of $GL_n$

Jerzy Weyman·Gufang Zhao
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Abstract

We describe noncommutative desingularizations of determinantal varieties, determinantal varieties defined by minors of generic symmetric matrices, and pfaffian varieties defined by pfaffians of generic anti-symmetric matrices. For maximal minors of square matrices and symmetric matrices, this gives a non-commutative crepant resolution. Along the way, we describe a method to calculate the quiver with relations for any non-commutative desingularizations coming from exceptional collections over partial flag varieties.

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BibTeXRIS

Jerzy Weyman, Gufang Zhao. 2012-04-02. Noncommutative desingularization of orbit closures for some representations of $GL_n$. https://arxiv.org/abs/1204.0488

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