A Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps

被引：5
|
作者：
Iacono, Donatella [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, Rome, Italy
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2011年 / 54卷 / 03期
关键词：
semiregularity map; obstruction theory; functors of Artin rings; differential graded Lie algebras; KAHLER-MANIFOLDS; DEFORMATIONS;
D O I：
10.4153/CMB-2011-012-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study infinitesimal deformations of holomorphic maps of compact, complex, Kahler manifolds. In particular, we describe a generalization of Bloch's semiregularity map that annihilates obstructions to deform holomorphic maps with fixed codomain.
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页码：472 / 486
页数：15
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