Obstructions to deforming maps from curves to surfaces

被引：1

作者：

Nishinou, Takeo ^{[1
]}

机构：

[1] Rikkyo Univ, Dept Math, 3-34-1 Nishi Ikebukuro, Toshima, Tokyo 1718501, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2024年 / 76卷 / 01期

基金：

日本学术振兴会;

关键词：

deformation theory; semiregularity; SEMIREGULARITY;

D O I：

10.2969/jmsj/86878687

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the obstructions to deforming a map from a complex variety to another variety which is an immersion of codimension one. We extend the classical notion of semiregularity of subvarieties to maps between varieties, and prove the unobstructedness of the deformation of such a map, even when the image is non-reduced. As an application, we give a simple but effective criterion for the vanishing of the obstructions to equisingular deformations of nodal curves on surfaces

引用

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页码：51 / 71

页数：21

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