The aim of this work is to develop the program proposed by S. Bloch, L. Barbieri-Viale and V. Srinivas of generalizing Deligne mixed Hodge structures providing a new cohomology theory for complex algebraic varieties. In other words to construct and study cohomological invariants, of (proper) complex algebraic schemes, which are finer than the associated mixed Hodge structures in the case of singular spaces
We give, for a complex algebraic variety S, a Hodge realization functor F Hdg S from the (un-bounded...
Let R be the connected component of the identity of the variety of representations of a finitely gen...
We describe an equivalence of categories between the category of mixed Hodge structures and a catego...
International audienceWith a basic knowledge of cohomology theory, the background necessary to under...
International audienceWith a basic knowledge of cohomology theory, the background necessary to under...
The mixed Hodge theory of Deligne provides additional structures on the cohomology groups of complex...
The mixed Hodge theory of Deligne provides additional structures on the cohomology groups of complex...
La théorie de Hodge mixte de Deligne fournit des structures supplémentaires sur les groupes de cohom...
Many problems in analysis have been solved using the theory of Hodge structures. P. Deligne started ...
In the present work, we analyse the categories of mixed Hodge complexes and mixed Hodge diagrams of ...
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex...
A fundamental tool in studying the geometry of complex manifolds is represented by Hodge theory. The...
Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ ...
Version 3.3 We reformulate a conjecture of Deligne on 1-motives by using the integral weight filtrat...
Over the past 2O years classical Hodge theory has undergone several generalizations of great interes...
We give, for a complex algebraic variety S, a Hodge realization functor F Hdg S from the (un-bounded...
Let R be the connected component of the identity of the variety of representations of a finitely gen...
We describe an equivalence of categories between the category of mixed Hodge structures and a catego...
International audienceWith a basic knowledge of cohomology theory, the background necessary to under...
International audienceWith a basic knowledge of cohomology theory, the background necessary to under...
The mixed Hodge theory of Deligne provides additional structures on the cohomology groups of complex...
The mixed Hodge theory of Deligne provides additional structures on the cohomology groups of complex...
La théorie de Hodge mixte de Deligne fournit des structures supplémentaires sur les groupes de cohom...
Many problems in analysis have been solved using the theory of Hodge structures. P. Deligne started ...
In the present work, we analyse the categories of mixed Hodge complexes and mixed Hodge diagrams of ...
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex...
A fundamental tool in studying the geometry of complex manifolds is represented by Hodge theory. The...
Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ ...
Version 3.3 We reformulate a conjecture of Deligne on 1-motives by using the integral weight filtrat...
Over the past 2O years classical Hodge theory has undergone several generalizations of great interes...
We give, for a complex algebraic variety S, a Hodge realization functor F Hdg S from the (un-bounded...
Let R be the connected component of the identity of the variety of representations of a finitely gen...
We describe an equivalence of categories between the category of mixed Hodge structures and a catego...
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