Liaison Equivalence Classes.
Limit linear series: Basic theory.
Limits of Hodge Structures.
Line bundles on arithmetic surfaces and intersection theory.
Line bundles on toroidal groups.
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 Projective Spaces.
Linear systems on quasi-abelian varieties.
Linear systems representing threefolds which are scrolls on a rational surface.
Linear systems with multiple base points in .
Linearization of group stack actions and the Picard group of the moduli of -bundles on a curve
Linking pairings on singular spaces.
L'irrégularité des surfaces de type général dont le système canonique est composé d'un pinceau
Local Chern classes
Local cohomology and the connectedness dimension in algebraic varieties.
Local cohomology of sheaves of differential forms and Hodge theory.
Local-global principle for certain biquadratic normic bundles
Let X be a proper smooth variety having an affine open subset defined by the normic equation over a number field k. We prove that: (1) the failure of the local-global principle for zero-cycles is controlled by the Brauer group of X; (2) the analogue for rational points is also valid assuming Schinzel’s hypothesis.
Localisation formelle et groupe de Picard
Soient un espace analytique affinoïde réduit sur un corps complet pour une valeur absolue non archimédienne, sa réduction canonique et un point de la variété algébrique affine . Ce travail décrit la singularité du point à l’aide d’objets associés à l’espace : la localisation formelle qui est une -algèbre noethérienne de spectre maximal et dont la réduction est ; un complété formel qui est une -algèbre noethérienne dont la réduction est . Les résultats essentiels sont obtenus...
Localization on singular varieties.
Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures.