Add to ORKGWe show a number of applications to geometry of the study of coho-mology algebras of various kinds of manifolds. The main tool is Hodge theory, and we use it to show that projective complex manifolds are more restricted topologically than compact Kähler manifolds. We also make explicit numerous constraints satisfied by cohomology algebras of compact Kähler manifolds, making them very non generic amongst co-homology algebras of symplectic manifolds satisfying the hard Lefschetz property
The celebrated Kodaira theorem [6] says that a compact complex manifold is projective if and only if...
This paper builds a general framework in which to study cohomology theories of strongly homotopy alg...
In these notes, we provide a summary of recent results on the cohomological properties of compact co...
It is well-known (see eg [22]) that the topology of a compact Kähler manifold X is strongly restric...
Final version, to appear in Math. Annalen 2008We study restrictions on cohomology algebras of Kaehle...
We discuss how quantitative cohomological informations could provide qualitative properties on compl...
We introduce filtered cohomologies of differential forms on symplectic manifolds. They generalize an...
We introduce filtered cohomologies of differential forms on symplectic manifolds. They generalize an...
1 Hodge theory on hyperkähler manifolds and its applica-tions In [V90], [V94], [V95:1], [V95:2], I ...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
Classical Hodge theory gives a decomposition of the complex cohomology of a compact Kähler manifold...
The transcendental Hodge lattice of a projective manifold M is the smallest Hodge substructure in pt...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
In the 1950s, Eilenberg and Steenrod presented their famous characterization of homology theory by s...
Let M be a simple hyperkähler manifold. Kuga-Satake construction gives an embedding of into the sec...
The celebrated Kodaira theorem [6] says that a compact complex manifold is projective if and only if...
This paper builds a general framework in which to study cohomology theories of strongly homotopy alg...
In these notes, we provide a summary of recent results on the cohomological properties of compact co...
It is well-known (see eg [22]) that the topology of a compact Kähler manifold X is strongly restric...
Final version, to appear in Math. Annalen 2008We study restrictions on cohomology algebras of Kaehle...
We discuss how quantitative cohomological informations could provide qualitative properties on compl...
We introduce filtered cohomologies of differential forms on symplectic manifolds. They generalize an...
We introduce filtered cohomologies of differential forms on symplectic manifolds. They generalize an...
1 Hodge theory on hyperkähler manifolds and its applica-tions In [V90], [V94], [V95:1], [V95:2], I ...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
Classical Hodge theory gives a decomposition of the complex cohomology of a compact Kähler manifold...
The transcendental Hodge lattice of a projective manifold M is the smallest Hodge substructure in pt...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
In the 1950s, Eilenberg and Steenrod presented their famous characterization of homology theory by s...
Let M be a simple hyperkähler manifold. Kuga-Satake construction gives an embedding of into the sec...
The celebrated Kodaira theorem [6] says that a compact complex manifold is projective if and only if...
This paper builds a general framework in which to study cohomology theories of strongly homotopy alg...
In these notes, we provide a summary of recent results on the cohomological properties of compact co...