Associated Curves and Plücker Formulas in Grassmannians.
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 estimates for rational points of bounded height on flag varieties
Asymptotic expansions of finite theta series
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.
Asymptotic Morse inequalities for analytic sheaf cohomology
Asymptotic purity for very general hypersurfaces of ℙn × ℙn of bidegree (k, k)
For a complex irreducible projective variety, the volume function and the higher asymptotic cohomological functions have proven to be useful in understanding the positivity of divisors as well as other geometric properties of the variety. In this paper, we study the vanishing properties of these functions on hypersurfaces of ℙn × ℙn. In particular, we show that very general hypersurfaces of bidegree (k, k) obey a very strong vanishing property, which we define as asymptotic purity: at most one asymptotic...
Asymptotics of eigensections on toric varieties
Using exhaustion properties of invariant plurisubharmonic functions along with basic combinatorial information on toric varieties, we prove convergence results for sequences of densities for eigensections approaching a semiclassical ray. Here is a normal compact toric variety and is an ample line bundle equipped with an arbitrary positive bundle metric which is invariant with respect to the compact form of the torus. Our work was motivated by and extends that of Shiffman, Tate and Zelditch....
Asymptotics of Matrix Coefficients, Perverse Sheaves and Jacquet Modules.
Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves
Atkin-Lehner involutions and class number residuality
Attracting divisors on projective algebraic varieties
We obtain sufficient and necessary conditions (in terms of positive singular metrics on an associated line bundle) for a positive divisor D on a projective algebraic variety X to be attracting for a holomorphic map f:X → X.
Au sujet de l'algorithme « de Coates »
Aufstellung eines vollständigen Systems von Differentialen erster Gattung in einem cubischen Functionenkörper
Auslander-Reiten components for concealed-canonical algebras
Auslander's Delta, the Quasihomogeneity of Isolated Hypersurface Singularities and the Tate Resolution of the Moduli Algebra.
Autoaddition formulae and algebraic groups.
Auto-intersection du dualisant relatif des courbes modulaires Xo (N).
Automorphic representations and Lefschetz numbers