Kähler manifolds with numerically effective Ricci class
Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces
We determine all anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. Many of these admit a Kähler-Einstein metric and most of them do not have tigers.
Klassifikationstheorie algebraischer Varietäten der Dimension drei
Kodaira dimension and Chern hyperbolicity of the Shafarevich maps for representations of ...1 of compact Kähler manifolds.
Kodaira Dimension is not Necessarily Lower Semi-Continuous Under Degenerations of Surfaces.
Kodaira dimensíon of moduli space of vector bundles on surfaces.
Kodaira singularities and an extension of Arnold's strange duality
Koszul cohomology and -normality of a projective variety.
Kuranishi families for Hopf surfaces
L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities.
La conjecture de Weil pour les surfaces K3.
La représentation des plans multiples et le nombre maximum de points doubles d'une surface algébrique
On utilise la forme limite de M. Chisini de la courbe de diramation d’un plan multiple pour trouver une limite inférieure du maximum de points doubles isolés que peuvent contenir soit une surface générale d’ordre de , soit une surface d’ordre dotée d’une conique -uple.
La stabilité de la restriction à une courbe lisse d'un fibré de rang 2 sur une surface algébrique.
l-adic representations associated to modular forms over imaginary quadratic fields.
Lagrangian 4-planes in holomorphic symplectic varieties of K3[4]-type
We classify the cohomology classes of Lagrangian 4-planes ℙ4 in a smooth manifold X deformation equivalent to a Hilbert scheme of four points on a K3 surface, up to the monodromy action. Classically, the Mori cone of effective curves on a K3 surface S is generated by nonnegative classes C, for which (C, C) ≥ 0, and nodal classes C, for which (C, C) = −2; Hassett and Tschinkel conjecture that the Mori cone of a holomorphic symplectic variety X is similarly controlled by “nodal” classes C such that...
Lagrangian fibrations on generalized Kummer varieties
We investigate the existence of Lagrangian fibrations on the generalized Kummer varieties of Beauville. For a principally polarized abelian surface of Picard number one we find the following: The Kummer variety is birationally equivalent to another irreducible symplectic variety admitting a Lagrangian fibration, if and only if is a perfect square. And this is the case if and only if carries a divisor with vanishing Beauville-Bogomolov square.
Lagrangian subvarieties of the moduli space of stable vector bundles on a regular algebraic surface with pg > 0.
Landau-Ginzburg models in real mirror symmetry
In recent years, mirror symmetry for open strings has exhibited some new connections between symplectic and enumerative geometry (A-model) and complex algebraic geometry (B-model) that in a sense lie between classical and homological mirror symmetry. I review the rôle played in this story by matrix factorizations and the Calabi-Yau/Landau-Ginzburg correspondence.
L'application canonique pour les surfaces de type général.
Las 27 rectas de una superficie cúbica.