A Lefschetz decomposition for Chow motives of abelian schemes.
A look into the Severi varieties of curves in higher codimension.
A minimal Set of Generators for the Ring of multisymmetric Functions
The purpose of this article is to give, for any (commutative) ring , an explicit minimal set of generators for the ring of multisymmetric functions as an -algebra. In characteristic zero, i.e. when is a -algebra, a minimal set of generators has been known since the 19th century. A rather small generating set in the general case has also recently been given by Vaccarino but it is not minimal in general. We also give a sharp degree bound on the generators, improving the degree bound previously...
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 new example of a compactification of C3.
A Noether-Lefschetz theorem for vector bundles.
A note on a theorem of Griffiths on the Abel-Jacobi map.
A note on a theorem of Horikawa.
In this paper we classify the algebraic surfaces on C with KS2=4, pg=3 and canonical map of degree d=3. By our result and the previous one of Horikawa (1979) we obtain the complete determination of surfaces with K2=4 and pg=3.
A note on abelian varieties embedded in quadrics
A note on Bézout's theorem
We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.
A note on indecomposable motivic cohomology classes.
A note on k-very ampleness of a bundle on a blown up plane.
A note on M. Soares’ bounds
We give an intersection theoretic proof of M. Soares’ bounds for the Poincaré-Hopf index of an isolated singularity of a foliation of .
A note on p-adique etale cohomology in the semi-stable reduction case.
A note on the cycle map.
A note on the Hilbert scheme of curves of degree and genus .
A note on the Hodge index theorem.
A -adic regulator map and finiteness results for arithmetic schemes.
A Pieri-Chevalley formula in the K-theory of a -bundle.
A Pieri-type theorem for Lagrangian and odd Orthogonal Grassmannians.