The Nash Problem from a Geometric and Topological Perspective
Fernández de Bobadilla J.
Pe Pereira M.
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We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the au- thors influenced it. Later we summarize the main ideas in the higher dimen- sional 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 holomorphic arcs.