Nash problem for surfaces
Javier Fernandez de Bobadilla, Maria Pe Pereira
TL;DR
This paper proves that the Nash mapping is bijective for all algebraic surfaces over algebraically closed fields of characteristic zero, confirming a key conjecture in algebraic geometry.
Contribution
It establishes the bijectivity of Nash mapping for surfaces, advancing understanding of singularities in algebraic geometry.
Findings
Nash mapping is bijective for algebraic surfaces
Confirms the Nash problem for surfaces in characteristic zero
Provides a complete solution to the Nash problem in this case
Abstract
We prove that Nash mapping is bijective for any algebraic surface defined over an algebraically closed field of characteristic 0.
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