光滑变异体的形式非交换变形

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-06-06 DOI:10.1016/j.aim.2025.110392

Yujiro Kawamata

引用次数: 0

摘要

我们将建立定义在域k上的光滑代数变体X的形式非交换（NC）变形理论，并描述一种切空间T1和阻塞空间T2由Hochschild上同调群给出的半泛变形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On formal non-commutative deformations of smooth varieties

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 by the Hochschild cohomology groups.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.