0-cycles de degré 0 sur les surfaces fibrées en coniques.
A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
A Finiteness Property of Varieties of General Type.
A higher Albanese map for complex threefolds based on a construction by M. Green
We construct a higher Abel-Jacobi map for 0-cycles on complex threefolds and prove that it can be used to describe Mumford's pull-back of a differential form, and that its image is infinite-dimensional in many cases. However, making a certain assumption, we show that it is not always injective.
A motivic isomorphism between two projective homogeneous varieties under the action of a group of type . (Un isomorphisme motivique entre deux variétés homogènes projectives sous l'action d'un groupe de type .)
A note on a theorem of Griffiths on the Abel-Jacobi map.
A propos d'une conjecture arithmétique sur le groupe de Chow d'une surface rationnelle
Algebraic cycles and values of L-functions.
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 equivalence modulo rational equivalence on a cubic threefold
An additive basis for the Chow ring of .
Appendice: «La classe fondamentale relative d'un cycle»
Cartier-Dieudonné theory for Chow groups.
Chern classes of reductive groups and an adjunction formula
In this paper, I construct noncompact analogs of the Chern classes for equivariant vector bundles over complex reductive groups. For the tangent bundle, these Chern classes yield an adjunction formula for the (topological) Euler characteristic of complete intersections in reductive groups. In the case where a complete intersection is a curve, this formula gives an explicit answer for the Euler characteristic and the genus of the curve. I also prove that the higher Chern classes vanish. The first...
Chow groups with coefficients.
Chow ring of projective nonsingular torus embedding
Complete intersections and rational equivalence.
Complexe dualisant et applications à la classe fondamentale d'un cycle
Conics in characteristic 2
Direct images in non-archimedean Arakelov theory
We develop a formalism of direct images for metrized vector bundles in the context of the non-archimedean Arakelov theory introduced in our joint work with S. Bloch. We prove a Riemann-Roch-Grothendieck theorem for this direct image.