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.
Orbifold-Uniformizing Differential Equations.
Orbit theorems for semigroup of regular morphisms and nonlinear discrete time systems
Orbites de semi-groupes de morphismes réguliers et systèmes non linéaires en temps discret.
Orbits, Invariants, and Representations Associated to Involutions of Reductive Groups.
Orbits of the Weyl group and a theorem of DeConcini and Procesi
Orbits under algebraic groups and logarithms of algebraic numbers
Order of torsion in of quadrics.
Ordered groupoids and étendues
Ordinariness in good reductions of Shimura varieties of PEL-type
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.
Orientability of higher order Grassmannians
Orientation-reversing homeomorphisms in surface geography.
Origine géométrique et représentation géométrique des fonctions elliptiques, abéliennes et de transcendantes d'ordres supérieurs.
Orthogonal bundles on curves and theta functions
Let be the moduli space of principal -bundles on a curve , and the determinant bundle on . We define an isomorphism of onto the dual of the space of -th order theta functions on the Jacobian of . This isomorphism identifies the rational map defined by the linear system with the map which associates to a quadratic bundle the theta divisor . The two components and of are mapped into the subspaces of even and odd theta functions respectively. Finally we discuss the analogous...
Osculatory behavior and second dual varieties of Del Pezzo surfaces.
Osservazioni sullo spazio dei moduli delle curve trigonali
Let be an algebraic projective smooth and trigonal curve of genus . In this paper we define, in a way equivalent to that followed by A. Maroni in [1], an integer , called the species of , which is a birational invariant having the property that and mod(2). In section 1 we prove that for every and every , as before, there are trigonal curves of genus and species . In section 2 we define the space of moduli of trigonal curves of genus and species . We note that is irreducible...