Algebraicity of the ample cone of projective varieties.
Algorithme de Brill-Noether et codes de Goppa
Ample and spanned vector bundles of sectional genera three.
Ample Cartier divisors on normal surfaces.
Ample Divisors on Fine Moduli Spaces on the Projective Plane.
Ample divisors on the blow up of P3 at points.
Ample line bundles on blown up surfaces.
Ample line bundles on smooth surfaces.
Ample subvarieties of algebraic varieties [Book]
An asymptotic higher order very ampleness theorem for blowings-up of projective spaces at general points
An effective version of Nor's theorem.
An existence theorem for Prym special divisors.
An Inequality of Chern Numbers for Open Algebraic Varieties.
Annulation du H1 et systèmes paracanoniques sur les surfaces.
Anticanonical Models of Rational Surfaces.
Applications of the Ein-Lazarsfeld cirterion for spannedness of adjoint bundles.
Applications of weight-two motivic cohomology.
Arithmetic discriminants and horizontal intersections.
Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.
Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.
Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces
In this paper, we study relations between positivity of the curvature and the asymptotic behavior of the higher cohomology group for tensor powers of a holomorphic line bundle. The Andreotti-Grauert vanishing theorem asserts that partial positivity of the curvature implies asymptotic vanishing of certain higher cohomology groups. We investigate the converse implication of this theorem under various situations. For example, we consider the case where a line bundle is semi-ample or big. Moreover,...