15 citations · 56 across the 31 of their papers we have counts for
34 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,…
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…
The second syzygy schemes of curves of large degree
Marian Aprodu, Andrea Bruno, Edoardo Sernesi
The present paper is a natural continuation of a previous work where we studied the second syzygy scheme of canonical curves. We find sufficient conditions ensuring that the second…
Geometric Endomorphisms of the Hesse moduli space of elliptic curves
Fabrizio Catanese, Edoardo Sernesi
We consider the geometric map , called Cayleyan, associating to a plane cubic the adjoint of its dual curve. We show that and the classical Hessian…
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 Hesse pencil and polarizations of type on Abelian surfaces
Fabrizio Catanese, Edoardo Sernesi
In this short note we prove two theorems, the first one is a sharpening of a result of Lange and Sernesi: the discriminant curve W of a general Abelian surface endowed with an…