Connections and L∞ liftings of semiregularity maps

被引：3

作者：

Lepri, Emma ^{[1
]}

Manetti, Marco ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, Ple Aldo Moro 5, I-00185 Rome, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 168卷

关键词：

Connections; Atiyah class; L-infinity maps; Semiregularity;

D O I：

10.1016/j.geomphys.2021.104303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let epsilon* be a finite complex of locally free sheaves on a complex manifold X. We prove that to every connection of type (1, 0) on epsilon* it is canonically associated an L-infinity morphism g: A(X)(0,)* (Hom(Ox)* (epsilon*, epsilon*)) -> A(X)*(,)*/A(X)(>= 2,)*[2] that lifts the 1-component of the Buchweitz-Flenner semiregularity map. An application to deformations of coherent sheaves on projective manifolds is given. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：14

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