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arXiv · 1710.00243

NC-smooth algebroid thickenings for families of vector bundles and quiver representations

Ben Dyer·Alexander Polishchuk
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Abstract

In his work on deformation quantization of algebraic varieties Kontsevich introduced the notion of algebroid as a certain generalization of a sheaf of algebras. We construct algebroids which are given locally by NC-smooth thickenings in the sense of Kapranov, over two classes of smooth varieties: the bases of miniversal families of vector bundles on projective curves, and the bases of miniversal families of quiver representations.

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Ben Dyer, Alexander Polishchuk. 2017-09-30. NC-smooth algebroid thickenings for families of vector bundles and quiver representations. https://doi.org/10.1112/s0010437x19007115

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