Systèmes pluricanoniques sur l’espace des modules des courbes et diviseurs de courbes -gonales
Systole et invariant d'Hermite.
Syzygies and Koszul cohomology of smooth projective varieties for arbitrary dimension.
Syzygies and logarithmic vector fields along plane curves
We investigate the relations between the syzygies of the Jacobian ideal of the defining equation for a plane curve and the stability of the sheaf of logarithmic vector fields along , the freeness of the divisor and the Torelli properties of (in the sense of Dolgachev-Kapranov). We show in particular that curves with a small number of nodes and cusps are Torelli in this sense.
Syzygies and the Abel-Jacobi map for cyclic coverings.
Syzygies of abelian surfaces embedded in ... (...).
Syzygies of Canonical Curves and Special Linear Series.