L∞ liftings of semiregularity maps via Chern-Simons classes

被引：1

作者：

Bandiera, Ruggero ^{[1
]}

Lepri, Emma ^{[2
]}

Manetti, Marco ^{[1
]}

机构：

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

[2] Univ Glasgow, Sch Math & Stat, Univ Pl, Glasgow G12 8QQ, Scotland

来源：

ADVANCES IN MATHEMATICS | 2023年 / 435卷

关键词：

Curved DG-algebras; Chern-Simons forms; Atiyah class; L-infinity maps; Semiregularity; OBSTRUCTIONS; DEFORMATION;

D O I：

10.1016/j.aim.2023.109358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of Chern-Simons classes for curved DG-pairs and we prove that a particular case of this general construction provides canonical L infinity liftings of Buchweitz- Flenner semiregularity maps for coherent sheaves on complex manifolds.(c) 2023 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).

引用

页数：25

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