Abelian varieties associated to certain K3 surfaces
Abelian Varieties Attached to Polarized K3-Surfaces.
About the adjunction process for polarized algebraic surfaces.
About the computation of the signature of surface singularities z N + g(x, y) = 0
In this article we describe our experiences with a parallel Singular implementation of the signature of a surface singularity defined by z N + g(x; y) = 0.
Abundance conjecture for 3-folds : case
Abundance theorem for minimal threefolds.
Acerca del genero virtual de la superficies algebráicas.
ACM bundles on general hypersurfaces in P5 of low degree.
In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P5 a rank 2 vector bundle ε splits if and only if h1ε(n) = h2ε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].
Action du groupe additif
Addendum : «Inégalités numériques pour les surfaces de type général»
Addendum to "Criteria for Quasi-Projectivity".
Adjoint representation of and del Pezzo surfaces of degree
Let be a del Pezzo surface of degree , and let be the simple Lie group of type . We construct a locally closed embedding of a universal torsor over into the -orbit of the highest weight vector of the adjoint representation. This embedding is equivariant with respect to the action of the Néron-Severi torus of identified with a maximal torus of extended by the group of scalars. Moreover, the -invariant hyperplane sections of the torsor defined by the roots of are the inverse images...
Adjunction mappings on numerical quadrics.
Adjunction properties of polarized surfaces via Reider's method.
Affine lines on logarithmic Q-homology planes.
Affine Parts of Abelian Surfaces as Complete Intersections of Four Quadrics.
Affine rulings of weighted projective planes
It is explained that the following two problems are equivalent: (i) describing all affine rulings of any given weighted projective plane; (ii) describing all weighted-homogeneous locally nilpotent derivations of k[X,Y,Z]. Then the solution of (i) is sketched. (Outline of our joint work with Peter Russell.)
AK-invariant, some conjectures, examples and counterexamples
In my talk I am going to remind you what is the AK-invariant and give examples of its usefulness. I shall also discuss basic conjectures about this invariant and some positive and negative results related to these conjectures.
Algebraic automorphisms of smooth affine surfaces.
Algebraic complete integrability of an integrable system of Beauville
We show that the Beauville’s integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O’Grady’s construction of a symplectic resolution of the moduli space of sheaves on a K3.