Addendum : «Inégalités numériques pour les surfaces de type général»
Adjoint bundles of ample and spanned vector bundles on algebraic surfaces.
Adjunction mappings on numerical quadrics.
Adjunction properties of polarized surfaces via Reider's method.
Affine varieties dominated by C2.
Albanese varieties with modulus and Hodge theory
Let be a proper smooth variety over a field of characteristic and an effective divisor on with multiplicity. We introduce a generalized Albanese variety Alb of of modulus , as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For we give a Hodge theoretic description.
Alexander duality in intersection theory
Algebraic bounds on analytic multiplier ideals
Given a pseudo-effective divisor we construct the diminished ideal , a “continuous” extension of the asymptotic multiplier ideal for big divisors to the pseudo-effective boundary. Our main theorem shows that for most pseudo-effective divisors the multiplier ideal of the metric of minimal singularities on is contained in . We also characterize abundant divisors using the diminished ideal, indicating that the geometric and analytic information should coincide.
Algebraic cobordism of bundles on varieties
The double point relation defines a natural theory of algebraic cobordism for bundles on varieties. We construct a simple basis (over ) of the corresponding cobordism groups over Spec() for all dimensions of varieties and ranks of bundles. The basis consists of split bundles over products of projective spaces. Moreover, we prove the full theory for bundles on varieties is an extension of scalars of standard algebraic cobordism.
Algebraic cycles and Hodge theoretic connectivity.
Algebraic cycles and Hodge theory on generalized Reye congruences
Algebraic cycles and infinite loop spaces.
Algebraic cycles and the classical groups II: quaternionic cycles.
Algebraic cycles and values of L-functions.
Algebraic Cycles as Residues of Meromorphic Forms.
Algebraic cycles, Chow varieties, and Lawson homology
Algebraic cycles in families of abelian varieties over Hilbert-Blumenthal surfaces.
Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety
Algebraic cycles on abelian varieties and their decomposition
For an Abelian Variety , the Künneth decomposition of the rational equivalence class of the diagonal gives rise to explicit formulas for the projectors associated to Beauville's decomposition (1) of the Chow ring , in terms of push-forward and pull-back of -multiplication. We obtain a few simplifications of such formulas, see theorem (4) below, and some related results, see proposition (9) below.
Algebraic Cycles on Abelian Varieties of Fermat Type.