Work

The Nash problem from a geometric and topological perspective

Year: 2018

Type: preprint

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 Kollár and Nemethi's study about holomorphic arcs.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1805.01418

Authors: de Bobadilla, Javier Fernández, Pereira, Marıa Pe

Institution: Basque Center for Applied Mathematics

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Eusko Jaurlaritza, Ministerio de Economía y Competitividad, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Basque Center for Applied Mathematics

Awards: G1708820433, G1761731206, G2275806810, G3244436707, G3779338858, G4252991836, G4373130462, G458145119, G5281057304, G711474080, G8296132195, G862438431

OpenAlex ID: W4299317587

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