On the collineation group of a normal projective abelian variety
On the connectedness of the locus of real Riemann surfaces.
On the existence of certain families of curves.
On the existence of components of the Hilbert scheme with the expected number of moduli.
On the existence of curves in with stable normal bundle
We prove that for integers n,d,g such that n ≥ 4, g ≥ 2n and d ≥ 2g + 3n + 1, the general (smooth) curve C in with degree d and genus g has a stable normal bundle .
On the existence of curves with maximal rank in Pn.
On the Geometrie Genera of Projective Curves.
On the geometry of moduli of curves and line bundles
Here we focus on the geometry of , the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into and we give generators and relations of the rational Picard group of , extending previous work by A. Kouvidakis.
On the invariants of base changes of pencils of curves, II.
On the Irreducibility of the Moduli Space of Curves. Appendix to the Paper of Harris and Mumford.
On the Kodaira Dimension of the Moduli Space of Curves.
On the Kodaira dimension of the moduli space of curves, II. The even-genus case.
On the moduli of curves with theta-characteristics
On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.
On the Noether-Lefschetz Theorem and Some Remarks on Codimension-two Cycles.
On the Normal Bundles of Smooth Rational Spaces Curves.
On the Periods of Abelian Integrals and a Formula of Chowla and Selberg.
On the projectivity of the moduli spaces of curves.
On the quantum cohomology of the plane, old and new, and a K3 analogue.
On the Severi problem.