15 citations · 76 across the 27 of their papers we have counts for
5 papers · 1 filter
Some classical formulæ for curves and surfaces
Thomas Dedieu
The goal of this text is to present the computation by Salmon, in the second half of the XIXth century, of various numbers enumerating planes with a prescribed tangency pattern wit…
Two lectures on the enumeration of curves by means of floor diagrams
Thomas Dedieu
We discuss, following Mikhalkin, Brugallé, and many others, the counting of curves on toric surfaces with prescribed genus, Newton polygon, and intersection pattern with the toric…
Node polynomials for curves on surfaces
Thomas Dedieu
This text is a presentation of a set of formulae, first found by Vainsencher (for ) and shortly after improved by Kleiman and Piene, counting -nodal curves in a complet…
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…
On surfaces of high degree with respect to the sectional genus
Ciro Ciliberto, Thomas Dedieu, Margarida Mendes Lopes
We study and classify linearly normal surfaces in , of degree and sectional genus , such that .