On the variety of special linear systems on an algebraic curve.
On the weight filtration of the homology of algebraic varieties : the generalized Leray cycles
Let be a normal crossing divisor in the smooth complex projective algebraic variety and let be a tubular neighbourhood of in . Using geometrical properties of different intersections of the irreducible components of , and of the embedding , we provide the “normal forms” of a set of geometrical cycles which generate , where is one of the following pairs , , , and . The construction is compatible with the weights in of Deligne’s mixed Hodge structure. The main technical part...
On the Witt ring of a relative projective line
On the zeta function of a complete intersection
On threefolds admitting a bielliptic curve as abstract complete intersection.
On torsion in the slope spectral sequence
On variation of Hodge-Tate structures.
Optimal bound for the number of -curves on extremal rational surfaces.
Orbifold-Hodge numbers of Hilbert schemes
Orbifolds and finite group representations.
Orbifolds, special varieties and classification theory
This article gives a description, by means of functorial intrinsic fibrations, of the geometric structure (and conjecturally also of the Kobayashi pseudometric, as well as of the arithmetic in the projective case) of compact Kähler manifolds. We first define special manifolds as being the compact Kähler manifolds with no meromorphic map onto an orbifold of general type, the orbifold structure on the base being given by the divisor of multiple fibres. We next show that rationally connected Kähler...
Orbifolds, special varieties and classification theory: an appendix
For any compact Kähler manifold and for any equivalence relation generated by a symmetric binary relation with compact analytic graph in , the existence of a meromorphic quotient is known from Inv. Math. 63 (1981). We give here a simplified and detailed proof of the existence of such quotients, following the approach of that paper. These quotients are used in one of the two constructions of the core of given in the previous paper of this fascicule, as well as in many other questions.
Order of torsion in of quadrics.
Osculatory behavior and second dual varieties of Del Pezzo surfaces.