Correction to: "An obstruction to smoothing of Gorenstein surface singularities".
Correction to “Canonical divisors and the additivity of the Kodaira dimension for morphisms of relative dimension one”
Correction to: Maximal orders of global dimension and Krull dimension two.
Counting rational points on del Pezzo surfaces with a conic bundle structure
For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.
Courbes de genre géométrique borné sur une surface de type général
Courbes entières dans les surfaces algébriques complexes
Courbes lisses sur les surfaces rationnelles génériques : un lemme d'Horace différentiel
Nous démontrons un lemme permettant d’étudier l’irréductibilité et la lissité (hors des singularités prescrites) de la courbe plane générique de degré passant par points génériques avec des multiplicités fixées par avance. Ce lemme repose sur la “méthode d’Horace”, introduite par A. Hirschowitz. Il est appliqué ici à l’étude des courbes de genre inférieur ou égal à .
Covering spaces of an elliptic surface
Criteria for Quasi-Projectivity.
Cubic points on cubic curves and the Brauer-Manin obstruction on K3 surfaces
Cubic surfaces with a Galois invariant double-six
We present a method to construct non-singular cubic surfaces over ℚ with a Galois invariant double-six. We start with cubic surfaces in the hexahedral form of L. Cremona and Th. Reye. For these, we develop an explicit version of Galois descent.
Curves of genus ten on K3 surfaces
Curves on a ruled cubic surface.
For the general ruled cubic surface S (with a double line) in P3 = P3 sub k, k any algebraically closed field, we find necessary conditions for which curves on S can be the specialization of a flat family of curves on smooth cubics. In particular, no smooth curve of degree > 10 on S is such a specialization.
Curves on generic hypersurfaces
Curves on surfaces of degree 2r-... in Pr.
Curves on surfaces with multiple line.
Cuspidal Projections of Space Curves.
Cycles on Fermat hypersurfaces
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.
Cyclic coverings of Fano threefolds
We describe a series of Calabi-Yau manifolds which are cyclic coverings of a Fano 3-fold branched along a smooth divisor. For all the examples we compute the Euler characteristic and the Hodge numbers. All examples have small Picard number .