Adjoint bundles of ample and spanned vector bundles on algebraic surfaces.
Adjunction properties of polarized surfaces via Reider's method.
Affine braid group actions on derived categories of Springer resolutions
In this paper we construct and study an action of the affine braid group associated with a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a “categorical version” of Kazhdan-Lusztig-Ginzburg’s construction of the affine Hecke algebra, and is used in particular by the first author and I. Mirković in the course...
Algebraic cycles and vector bundles on real affine threefolds.
Algebraic Vector Bundles over the 2-Sphere.
Algèbres simples centrales sur les corps de fonctions de deux variables
À toute classe dans le groupe de Brauer d’un corps sont associés deux entiers, l’indice (degré d’un corps gauche représentant la classe) et l’exposant (ordre de la classe dans le groupe de Brauer). L’exposant divise l’indice, mais ne lui est pas nécessairement égal. Lorsque est un corps de nombres, c’est un théorème des années 1930 qu’exposant et indice coïncident. A. J. de Jong (Duke Math. J. 123 (2004) 71-94) a montré récemment qu’ils coïncident aussi lorsque est un corps de fonctions de...
Almost-Positiv Vector Bundles on Projective Surfaces.
Ample and spanned vector bundles of sectional genera three.
Ample Divisors on Fine Moduli Spaces on the Projective Plane.
Ample line bundles on smooth surfaces.
Ample Vector Bundles, Chern Classes, and Numerical Criteria.
Ample vector bundles on singular varieties.
An extension of Aritn-Verdier duality to non-torsion sheaves.
Analytic functions on an open subsets of P1 (k).
Annulation du H1 et systèmes paracanoniques sur les surfaces.
Applications of the Ein-Lazarsfeld cirterion for spannedness of adjoint bundles.
Arithmetic genus of integral space curves
We give an estimation for the arithmetic genus of an integral space curve which is not contained in a surface of degree . Our main technique is the Bogomolov-Gieseker type inequality for proved by Macrì.
Arithmetic on certain quadric bundles of relative dimension 2. I.
Arithmetic vector bundles and automorphic forms on Shimura vartieties. I.
Arithmetically normal sheaves