Thomas Dedieu

most citedThe fundamental group of quotients of a product of curves

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math.AG2025

Node polynomials for curves on surfaces

Thomas Dedieu

This text is a presentation of a set of formulae, first found by Vainsencher (for $δ \leq 6$ ) and shortly after improved by Kleiman and Piene, counting $δ$ -nodal curves in a complet…

math.AG2025

The Caporaso-Harris-Ran degeneration principle: proof and applications

Francesco Bastianelli, Ciro Ciliberto, Thomas Dedieu +3

Severi varieties are the parameter spaces for curves with prescribed homology class and genus on a smooth surface. We describe their limits along degenerations of surfaces, with a…

math.AG2010★ 1 cited

The fundamental group of quotients of a product of curves

Thomas Dedieu, Fabio Perroni

We prove a structure theorem for the fundamental group of the quotient $X$ of a product of curves by the action of a finite group $G$ , hence for that of any resolution of the singu…