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arXiv · 1501.06023

Minors and resolutions of non-commutative schemes

Igor Burban·Yuriy Drozd·Volodymyr Gavran
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Abstract

In this article 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.

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Igor Burban, Yuriy Drozd, Volodymyr Gavran. 2015-01-24. Minors and resolutions of non-commutative schemes. https://doi.org/10.1007/s40879-017-0128-6

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