4 papers
IVHS of nodal plane curves
Edoardo Sernesi
Let $\V_{d,n}$ be the Severi variety of irreducible plane curves of degree having nodes, with . We prove that for every $[\ol C]\in \V_{d,…
On Treibich-Verdier curves
Edoardo Sernesi
We survey some properties of a class of curves lying on certain elliptic ruled surfaces, studied by A. Treibich and J.L. Verdier in connection with elliptic solitons and KP equatio…
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…
Deformations and extensions of Gorenstein weighted projective spaces
Thomas Dedieu, Edoardo Sernesi
We study the existence of deformations of all Gorenstein weighted projective spaces of dimension by computing the number of times their general anticanonical d…