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/).
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页数：25
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