2026-07-31T10:59:37Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/979512025-07-15T15:05:11Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Fernández de Bobadilla, Javier
author
Pe Pereira, María
2024-02-01T17:55:25Z
2024-02-01T17:55:25Z
2020
De Bobadilla JF, Pereira MP (2020) The Nash Problem from Geometric and Topological Perspective. In: Arc Schemes and Singularities. WORLD SCIENTIFIC (EUROPE), pp 173–195
9781786347206
10.1142/9781786347206_0011
https://hdl.handle.net/20.500.14352/97951
https://doi.org/10.1142/9781786347206_0011
https://www.worldscientific.com/doi/abs/10.1142/9781786347206_0011
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 Kollar and Nemethi holomorphic arcs.
eng
The Nash Problem from Geometric and Topological Perspective
book part
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URL
https://docta.ucm.es/bitstreams/dc47cc8d-2b26-4732-985b-68399f0cd4ed/download
File
MD5
8090b63824e4a60fa182652bdcb15cd4
786540
application/pdf
The_Nash_Problem.pdf