Fernández de Bobadilla, JavierPe Pereira, María2024-02-012024-02-012020De Bobadilla JF, Pereira MP (2020) The Nash Problem from Geometric and Topological Perspective. In: Arc Schemes and Singularities. WORLD SCIENTIFIC (EUROPE), pp 173–195978178634720610.1142/9781786347206_0011https://hdl.handle.net/20.500.14352/97951We 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.engbook parthttps://doi.org/10.1142/9781786347206_0011https://www.worldscientific.com/doi/abs/10.1142/9781786347206_0011resrticted accessGeometria algebraica1201.01 Geometría Algebraica