Pré-Publication, Document De Travail Année : 2025

Flops and Hilbert schemes of space curve singularities

Duiliu-Emanuel Diaconescu
  • Fonction : Auteur
Francesco Sala
  • Fonction : Auteur
Arian Vosoughinia
  • Fonction : Auteur

Résumé

Using pagoda flop transitions between smooth projective threefolds, a relation is derived between the Euler numbers of moduli spaces of stable pairs which are scheme-theoretically supported on a fixed singular space curve and Euler numbers of Flag Hilbert schemes associated to a plane curve singularity. When the space curve singularity is locally complete intersection, one obtains a relation between the latter and Euler numbers of Hilbert schemes of the space curve singularity. It is also shown that this relation yields explicit results for a class of torus-invariant locally complete intersection singularities.

Dates et versions

hal-04951051 , version 1 (17-02-2025)

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Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala, Arian Vosoughinia. Flops and Hilbert schemes of space curve singularities. 2025. ⟨hal-04951051⟩
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