On Varieties Whose Degree is Small with Respect to Codimension.
On vector bundles whose general sections have all projectively equivalent zero-loci
On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors
We extend results on generic strange duality for surfaces by showing that the proposed isomorphism holds over an entire Noether-Lefschetz divisor in the moduli space of quasipolarized s. We interpret the statement globally as an isomorphism of sheaves over this divisor, and also describe the global construction over the space of polarized .
One attempt to the modular function I
One attempt to the modular function - II
Open surfaces with non-positive Euler characteristic
Optimal bound for the number of -curves on extremal rational surfaces.
Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface (II).
In [6], orbifold G-bundles on a certain class of elliptic fibrations over a smooth complex projective curve X were related to parabolic G-bundles over X. In this continuation of [6] we define and investigate holomorphic connections on an orbifold G-bundle over an elliptic fibration.
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.
Ordinary reduction of K3 surfaces
Let X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension E/K such that X has ordinary reduction at every non-archimedean place of E outside a density zero set of places.
Orientation-reversing homeomorphisms in surface geography.
Osculatory behavior and second dual varieties of Del Pezzo surfaces.