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arXiv · 2402.15685

On formal non-commutative deformations of smooth varieties

Yujiro Kawamata
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Abstract

We will develop a formal non-commutative (NC) deformation theory of smooth algebraic varieties $X$ defined over a field $k$, and describe a semi-universal deformation where the tangent space $T^1$ and the obstruction space $T^2$ are given as subspaces of Hochschild cohomology groups.

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Yujiro Kawamata. 2024-02-24. On formal non-commutative deformations of smooth varieties. https://arxiv.org/abs/2402.15685

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