Obstructions to deforming maps from curves to surfaces
-
- Nishinou Takeo
- Department of Mathematics, Rikkyo University
Search this article
Abstract
<p>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.</p>
Journal
-
- Journal of the Mathematical Society of Japan
-
Journal of the Mathematical Society of Japan 76 (1), 51-71, 2024
The Mathematical Society of Japan
- Tweet
Keywords
Details 詳細情報について
-
- CRID
- 1390017444754307328
-
- NII Book ID
- AA0070177X
-
- ISSN
- 18811167
- 18812333
- 00255645
-
- NDL BIB ID
- 033292418
-
- Text Lang
- en
-
- Data Source
-
- JaLC
- NDL
- Crossref
-
- Abstract License Flag
- Disallowed