Add to ORKGLet X be a smooth complex projective variety of dimension n. The Hodge conjecture is then true for rational Hodge classes of degree 2n−2, that is, degree 2n−2 rational cohomology classes of Hodge type (n − 1, n − 1) are algebraic, which means tha
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
If X is a smooth projective complex threefold, the Hodge conjecture holds for degree 4 rational Hodg...
We prove that the product of an Enriques surface and a very general curve of genus at least 1 does n...
For smooth projective varieties X over C, the Hodge Conjecture states that every rational Cohomology...
Let S be a nonsingular complex algebraic variety and V a polarized variation of Hodge structure of w...
International audienceWe establish the real integral Hodge conjecture for 1-cycles on various classe...
LatexSummary: The Hodge conjecture asks whether rational Hodge classes on a smooth projective manifo...
We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic...
We study the connection between Hodge purity of the cohomology of algebraic varieties over fields of...
The failure of the integral Hodge conjecture has been known since the famous counterexamples of Atiy...
A few typos correctedWe study for rationally connected varieties $X$ the group of degree 2 integral ...
For a smooth complex projective variety X, let N^p the subspace of the cohomology space H^i(X, Q) of...
Let $\mathcal{A}$ be a smooth proper $\mathbb{C}$-linear triangulated category Calabi-Yau of dimensi...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
If X is a smooth projective complex threefold, the Hodge conjecture holds for degree 4 rational Hodg...
We prove that the product of an Enriques surface and a very general curve of genus at least 1 does n...
For smooth projective varieties X over C, the Hodge Conjecture states that every rational Cohomology...
Let S be a nonsingular complex algebraic variety and V a polarized variation of Hodge structure of w...
International audienceWe establish the real integral Hodge conjecture for 1-cycles on various classe...
LatexSummary: The Hodge conjecture asks whether rational Hodge classes on a smooth projective manifo...
We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic...
We study the connection between Hodge purity of the cohomology of algebraic varieties over fields of...
The failure of the integral Hodge conjecture has been known since the famous counterexamples of Atiy...
A few typos correctedWe study for rationally connected varieties $X$ the group of degree 2 integral ...
For a smooth complex projective variety X, let N^p the subspace of the cohomology space H^i(X, Q) of...
Let $\mathcal{A}$ be a smooth proper $\mathbb{C}$-linear triangulated category Calabi-Yau of dimensi...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...