We give new examples of algebraic integral cohomology classes on smoothprojective complex varieties that are not integral linear combinations ofclasses of smooth subvarieties. Some of our examples have dimension 6, thelowest possible. The classes that we consider are minimal cohomology classes onJacobians of very general curves. Our main tool is complex cobordism.Comment: 11 pages, v3: final versio
Let $X$ be a closed Riemann surface. When $X$ is embedded into a projective space, the first rationa...
Consider a smooth projective variety over a number field. The image of the associated (complex) Abel...
We report new examples of Sidon sets in abelian groups arising from algebraic geometry.Comment: 3 pa...
We give new examples of algebraic integral cohomology classes on smooth projective complex varieties...
In this paper we study general hyperplane sections of adjoint and coadjoint varieties. We show that ...
For a smooth complex projective variety X, let N^p the subspace of the cohomology space H^i(X, Q) of...
Let X be a smooth complex projective variety of dimension n. The Hodge conjecture is then true for r...
A cohomology class of a smooth complex variety of dimension n has coniveau at least c if it vanishes...
Abstract. We recall our construction of fundamental classes in the algebraic cobordism of smooth qua...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
M. Andreatta,E.Ballico,J.Wisniewski: Projective manifolds containing large linear subspaces; - F.Bar...
Let l be a prime and G a pro-l group with torsion-free abelianization. Weproduce group-theoretic ana...
We describe the integral cohomology of $X/G$ where $X$ is a compact complexmanifold and $G$ a cyclic...
International audienceWe prove that the product of an Enriques surface and a very general curve of g...
We introduce a new invariant, the real (logarithmic)-Kodaira dimension, thatallows to distinguish sm...
Let $X$ be a closed Riemann surface. When $X$ is embedded into a projective space, the first rationa...
Consider a smooth projective variety over a number field. The image of the associated (complex) Abel...
We report new examples of Sidon sets in abelian groups arising from algebraic geometry.Comment: 3 pa...
We give new examples of algebraic integral cohomology classes on smooth projective complex varieties...
In this paper we study general hyperplane sections of adjoint and coadjoint varieties. We show that ...
For a smooth complex projective variety X, let N^p the subspace of the cohomology space H^i(X, Q) of...
Let X be a smooth complex projective variety of dimension n. The Hodge conjecture is then true for r...
A cohomology class of a smooth complex variety of dimension n has coniveau at least c if it vanishes...
Abstract. We recall our construction of fundamental classes in the algebraic cobordism of smooth qua...
For a simplicial subdivison # of a region in k (k algebraically closed) and r N, there is a ref...
M. Andreatta,E.Ballico,J.Wisniewski: Projective manifolds containing large linear subspaces; - F.Bar...
Let l be a prime and G a pro-l group with torsion-free abelianization. Weproduce group-theoretic ana...
We describe the integral cohomology of $X/G$ where $X$ is a compact complexmanifold and $G$ a cyclic...
International audienceWe prove that the product of an Enriques surface and a very general curve of g...
We introduce a new invariant, the real (logarithmic)-Kodaira dimension, thatallows to distinguish sm...
Let $X$ be a closed Riemann surface. When $X$ is embedded into a projective space, the first rationa...
Consider a smooth projective variety over a number field. The image of the associated (complex) Abel...
We report new examples of Sidon sets in abelian groups arising from algebraic geometry.Comment: 3 pa...