An Orlik-Solomon type algebra for matroids with a fixed linear class of circuits.
Analytic functions on an open subsets of P1 (k).
Analytic Geometry on Real Algebraic Curves.
Anneaux de Grothendieck des variétés de drapeaux
Annulation du H1 et systèmes paracanoniques sur les surfaces.
Appendice: «La classe fondamentale relative d'un cycle»
Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.
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 on two dimensional local rings.
Arithmetic vector bundles and automorphic forms on Shimura vartieties. I.
Arithmetically normal sheaves
Arithmetisch ganze Differentiale der Modulfunktionenkörper 6. und 7. Stufe
Around the Gysin triangle. II.
Arrondissement des variétés à coins - Appendice à "Corners and Arithmetic Groups"
Artin-Verdier duality for arithmetic surfaces.
Asymptotic behaviour of numerical invariants of algebraic varieties
We show that if the degree of a nonsingular projective variety is high enough, maximization of any of the most important numerical invariants, such as class, Betti number, and any of the Chern or middle Hodge numbers, leads to the same class of extremal varieties. Moreover, asymptotically (say, for varieties whose total Betti number is big enough) the ratio of any two of these invariants tends to a well-defined constant.
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,...
Asymptotic invariants of base loci
The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.