Deformations of a Holomorphic Map and Its Degeneracy Locus

被引：0

作者：

Ebihara, Madoka ^{[1
]}

机构：

[1] Saitama Univ, Saitama 3388570, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2012年 / 35卷 / 02期

关键词：

deformation; degeneracy locus; quadric bundle; conic bundle;

D O I：

10.3836/tjm/1358951317

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f : X -> Y be a surjective holomorphic map of compact complex manifolds and Delta the degeneracy locus of f. In this paper we shall discuss relationship between infinitesimal deformations of f and the corresponding infinitesimal displacements of Delta in Y. We shall prove that two kinds of Kodaira-Spencer maps are compatible under certain assumptions. As an application of our main theorem, deformations of quadric bundles shall be discussed.

引用

页码：253 / 277

页数：25

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