Nodal degenerations of plane curves and Galois covers
Algebraic Geometry
2018-05-04 v1 Geometric Topology
Abstract
Globally irreducible nodes (i.e. nodes whose branches belong to the same irreducible component) have mild effects on the most common topological invariants of an algebraic curve. In other words, adding a globally irreducible node (simple nodal degeneration) to a curve should not change them a lot. In this paper we study the effect of nodal degeneration of curves on fundamental groups and show examples where simple nodal degenerations produce non-isomorphic fundamental groups and this can be detected in an algebraic way by means of Galois coverings.
Keywords
Cite
@article{arxiv.math/0411328,
title = {Nodal degenerations of plane curves and Galois covers},
author = {E. Artal and J. I. Cogolludo and H. Tokunaga},
journal= {arXiv preprint arXiv:math/0411328},
year = {2018}
}
Comments
16 pages, 3 figures