Degré des diviseurs sur les families de courbes de P3.
Degree of the fibres of an elliptic fibration
Let an elliptic fibration with general fibre . Let be the minima of the non-zero intersection numbers where runs successively through the following sets: effective divisors on , invertible sheaves spanned by global sections, ample divisors and very ample divisors. Let be the maximum of the multiplicities of the fibres of . We prove that if and only if and that if and only if .
Diviseurs amples
Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
Divisor classes on Shimura curves rational over local fields.
Divisorenklassengruppen der Komplettierungen analytischer Algebra.
Divisorial Zariski decompositions on compact complex manifolds
Divisors of Bielliptic Surfaces and Ebeddings in IP4.
Divisors on general curves and cuspidal rational curves.
Divisors on hypersurfaces.
Divisors on real curves.
Divisors on the Blow-Up of the Projective Plane.
d-Very-Ample Line Bundles and embeddings of Hilbert Schemes of 0-cycles.
Dyson's lemma and a theorem of Esnault and Viehweg.
Effective base point freeness.
Effective divisors of higher rank on a curve and the Siegel formula
Effective freeness and point separation for adjoint bundles.
Effective freeness of adjoint line bundles.
Effective nonvanishing, effective global generation
We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
Eine Bemerkung zur Existenz spezieller Divisoren auf glatten projektiven Kurven.