The Nash problem from a geometric and topological perspective
Algebraic Geometry
2018-05-04 v1
Abstract
We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the authors influenced it. Later we summarize the main ideas in the higher dimensional statement and proof by de Fernex and Docampo. We end the paper by explaining later developments on generalized Nash problem and on Koll\'ar and Nemethi's study about holomorphic arcs.
Keywords
Cite
@article{arxiv.1805.01418,
title = {The Nash problem from a geometric and topological perspective},
author = {Javier Fernández de Bobadilla and Marıa Pe Pereira},
journal= {arXiv preprint arXiv:1805.01418},
year = {2018}
}
Comments
19 pages, 7 figures