The Algebraic Answer to the Nash Problem for Normal Surfaces According to de Fernex and Docampo - Université de Versailles Saint-Quentin-en-Yvelines Access content directly
Book Sections Year : 2020

The Algebraic Answer to the Nash Problem for Normal Surfaces According to de Fernex and Docampo

Abstract

We give a detailed proof of the bijectivity of the Nash map for normal surface singularities in characteristic 0; this means that the number of irreducible components of the space of arcs on the surface centered at a singular point coincides with the number of irreducible exceptional curves above this point on its minimal resolution of singularities. This proof is extracted from the results of de Fernex Docampo concerning the Nash map for singularities in any dimension.
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Dates and versions

hal-04428620 , version 1 (31-01-2024)

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Monique Lejeune-Jalabert. The Algebraic Answer to the Nash Problem for Normal Surfaces According to de Fernex and Docampo. Arc Schemes and Singularities, 10, WORLD SCIENTIFIC (EUROPE), pp.163-172, 2020, 978-1-78634-721-3. ⟨10.1142/9781786347206_0010⟩. ⟨hal-04428620⟩
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