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.
Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres.
Macaulay's theorem and local Torelli for weighted hypersurfaces
Maximal rank curves and singular points of the Hilbert scheme
Méthodes et résultats effectifs en géométrie algébrique
Milnor Number and Tjurina Number of Complete Intersections.
Minimal models of algebraic threefolds : Mori's program
Minimal sections of conic bundles
Sia un fibrato in coniche standard con curva discriminante di grado . La varietà delle sezioni minime delle superfici , dove è una curva di grado , si spezza in due componenti e . Si prova che, mediante la mappa di Abel-Jacobi , una di queste componenti domina la Jacobiana intermedia , mentre l'altra domina il divisore theta . Questi risultati vengono applicati ad alcuni threefold di Fano birazionalmente equivalenti a un fibrato in coniche. In particolare si prova che il generico...
Mixed Automorphic Forms and Invariants of Elliptic Surfaces.
Mixed Hodge structure of affine hypersurfaces
In this article we give an algorithm which produces a basis of the -th de Rham cohomology of the affine smooth hypersurface compatible with the mixed Hodge structure, where is a polynomial in variables and satisfies a certain regularity condition at infinity (and hence has isolated singularities). As an application we show that the notion of a Hodge cycle in regular fibers of is given in terms of the vanishing of integrals of certain polynomial -forms in over topological -cycles on...
Mixed Hodge Structures on the Homotopy of Links.
Mixed Hodge structures on the intersection cohomology of links
Mixed Hodge theory for unitary local systems.
Modules of finite length and -groups of surface singularities
Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations.