Elementary transformations of Dynkin graphs and singularities on quartic surfaces.
Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy
This note deals with Lagrangian fibrations of elliptic K3 surfaces and the associated Hamiltonian monodromy. The fibration is constructed through the Weierstraß normal form of elliptic surfaces. There is given an example of K3 dynamical models with the identity monodromy matrix around 12 elementary singular loci.
Equations de variétés de Kummer.
Equations defining reducible Kummer surfaces in ℙ⁵
Principally polarized abelian surfaces are the Jacobians of smooth genus 2 curves or of stable genus 2 curves of special type. In [S] we studied equations describing Kummer surfaces in the case of an irreducible principal polarization on the abelian surface. The aim of this note is to give a treatment of the second case. We describe intermediate Kummer surfaces coming from abelian surfaces carrying a product principal polarization. In Proposition 12 we give explicit equations of these surfaces in...
Étude des fibrations elliptiques d’une surface
On s’intéresse aux fibrations elliptiques d’une surface singulière en vue de construire des courbes elliptiques avec torsion et rang sur .
Exceptional Bundles On Nodal Enriques Surfaces.