We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic varieties of K3[n]-type and of generalized Kummer type. As an application, we give a new proof of the integral Hodge conjecture for cubic fourfolds
We prove that there exists a pencil of Enriques surfaces defined over Q with non-algebraic integral ...
Given a variation of Hodge structure over P^1 with Hodge numbers (1,1,...,1), we show how to compute...
We study families of rational curves on irreducible holomorphic symplectic varieties. We give a nec...
We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic...
If X is a smooth projective complex threefold, the Hodge conjecture holds for degree 4 rational Hodg...
International audienceWe establish the real integral Hodge conjecture for 1-cycles on various classe...
We prove that the product of an Enriques surface and a very general curve of genus at least 1 does n...
Let X be a smooth complex projective variety of dimension n. The Hodge conjecture is then true for r...
As we think that our geometric approach might still be interesting, we make it available. There will...
We use the universal generation of algebraic cycles to relate (stable) rationality to the integral H...
Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N1(X,Z) ⊂ H2(X,Z) denot...
For smooth projective varieties X over C, the Hodge Conjecture states that every rational Cohomology...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
Rational curves on Hilbert schemes of points on K3 surfaces and generalised Kummer manifolds are con...
A few typos correctedWe study for rationally connected varieties $X$ the group of degree 2 integral ...
We prove that there exists a pencil of Enriques surfaces defined over Q with non-algebraic integral ...
Given a variation of Hodge structure over P^1 with Hodge numbers (1,1,...,1), we show how to compute...
We study families of rational curves on irreducible holomorphic symplectic varieties. We give a nec...
We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic...
If X is a smooth projective complex threefold, the Hodge conjecture holds for degree 4 rational Hodg...
International audienceWe establish the real integral Hodge conjecture for 1-cycles on various classe...
We prove that the product of an Enriques surface and a very general curve of genus at least 1 does n...
Let X be a smooth complex projective variety of dimension n. The Hodge conjecture is then true for r...
As we think that our geometric approach might still be interesting, we make it available. There will...
We use the universal generation of algebraic cycles to relate (stable) rationality to the integral H...
Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N1(X,Z) ⊂ H2(X,Z) denot...
For smooth projective varieties X over C, the Hodge Conjecture states that every rational Cohomology...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
Rational curves on Hilbert schemes of points on K3 surfaces and generalised Kummer manifolds are con...
A few typos correctedWe study for rationally connected varieties $X$ the group of degree 2 integral ...
We prove that there exists a pencil of Enriques surfaces defined over Q with non-algebraic integral ...
Given a variation of Hodge structure over P^1 with Hodge numbers (1,1,...,1), we show how to compute...
We study families of rational curves on irreducible holomorphic symplectic varieties. We give a nec...
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