Killing divisor classes by algebraisation
It is proved that any isolated singularity of complete intersection has an algebraisation whose divisor class group is finitely generated.
Kodaira Dimension of Algebraic Fiber Spaces Over Curves.
Kodaira vanishing theorems on non-complete algebraic manifolds.
Kolyvagin's method for Chow groups of Kuga-Sato varieties.
K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale.
K-Theory and Analytic Isomorphisms.
L' anneau de Chow des triangles du plan
L1-cohomology of normal algebraic surfaces. I.
L2 and intersection cohomologies for a polarizable Variation of Hodge structure.
L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities.
La classe fondamentale d'un cycle
La conjecture de Milnor
La conjecture de R. Hartshorne pour les hypersurfaces lisses de Pn.
La forme hermitienne canonique sur la partie invariante de la cohomologie de la fibre de Milnor d'une singularité isolée de polynôme quasi-homogène
La méthode d'Horace pour l'interpolation à plusieurs variables.
La -équivalence sur les tores
La variété de Picard d'une variété complète
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 fibrations on hyperkähler manifolds – On a question of Beauville
Let be a compact hyperkähler manifold containing a complex torus as a Lagrangian subvariety. Beauville posed the question whether admits a Lagrangian fibration with fibre . We show that this is indeed the case if is not projective. If is projective we find an almost holomorphic Lagrangian fibration with fibre under additional assumptions on the pair , which can be formulated in topological or deformation-theoretic terms. Moreover, we show that for any such almost holomorphic Lagrangian...