On the local version of the Severi problem
代数几何
2007-05-23 v1 辛几何
摘要
For a given singularity of a plane curve we consider the locus of nodal deformations of the singularity with the given number of nodes and describe possible components of the locus. As applications, we solve the local symplectic isotopy for nodal curves in a neighborhood of a given pseudoholomorphic curve without multiple components and prove the uniqueness of the symplectic isotopy class for nodal pseudoholomorphic curves of low genus in and \CP^2 # \bar\CP^2.
引用
@article{arxiv.math/0207048,
title = {On the local version of the Severi problem},
author = {V. Shevchishin},
journal= {arXiv preprint arXiv:math/0207048},
year = {2007}
}
备注
33 pages, AMS-LaTeX, no figures