Lefschetz fibrations in symplectic geometry.
Line bundles with partially vanishing cohomology
Define a line bundle on a projective variety to be -ample, for a natural number , if tensoring with high powers of kills coherent sheaf cohomology above dimension . Thus 0-ampleness is the usual notion of ampleness. We show that -ampleness of a line bundle on a projective variety in characteristic zero is equivalent to the vanishing of an explicit finite list of cohomology groups. It follows that -ampleness is a Zariski open condition, which is not clear from the definition.
Linear systems on quasi-abelian varieties.
Linear-uniforme Bündel auf Quadriken
Local index theory and higher analytic torsion.
Local Moduli for Complex Analytic Vector Bundles.
Locally free resolutions of coherent sheaves on surfaces.
Logarithmic De Rham complexes and vanishing theorems.