Add to ORKGAbstract. We announce Hodge theoretic formulae of Atiyah-Meyer type for genera and characteristic classes of complex algebraic varieties. Our results are formulated in terms of the generalized (motivic) Hirzebruch characteristic classes, and the arguments used in the proofs rely in an essential way on Saito’s theory of algebraic mixed Hodge modules. 1
La théorie de Hodge mixte de Deligne fournit des structures supplémentaires sur les groupes de cohom...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
Let R be the connected component of the identity of the variety of representations of a finitely gen...
Abstract. We study the behavior of Hodge-theoretic genera under morphisms of complex algebraic varie...
Abstract. In this note we survey Hodge-theoretic formulae of Atiyah-Meyer type for genera and charac...
Abstract. For smooth manifolds, Atiyah and Meyer studied contributions of monodromy to usual signatu...
Abstract. This paper is an extended version of an expository talk given at the work-shop “Topology o...
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed...
We introduce the categories of geometric complex mixed Hodge modules on algebraic varieties over a s...
1. Euler characteristic and Hodge-Deligne polynomial of complex algebraic varieties 1 1.1. Euler cha...
We develop a general theory of mixed Hodge structures over local or global function fields which in...
We give, for a complex algebraic variety S, a Hodge realization functor F Hdg S from the (un-bounded...
This paper addresses several questions related to the Hodge conjecture. First of all we consider the...
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex...
Abstract. We construct a family of abelian varieties of CM-type such that the Hodge conjecture holds...
La théorie de Hodge mixte de Deligne fournit des structures supplémentaires sur les groupes de cohom...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
Let R be the connected component of the identity of the variety of representations of a finitely gen...
Abstract. We study the behavior of Hodge-theoretic genera under morphisms of complex algebraic varie...
Abstract. In this note we survey Hodge-theoretic formulae of Atiyah-Meyer type for genera and charac...
Abstract. For smooth manifolds, Atiyah and Meyer studied contributions of monodromy to usual signatu...
Abstract. This paper is an extended version of an expository talk given at the work-shop “Topology o...
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed...
We introduce the categories of geometric complex mixed Hodge modules on algebraic varieties over a s...
1. Euler characteristic and Hodge-Deligne polynomial of complex algebraic varieties 1 1.1. Euler cha...
We develop a general theory of mixed Hodge structures over local or global function fields which in...
We give, for a complex algebraic variety S, a Hodge realization functor F Hdg S from the (un-bounded...
This paper addresses several questions related to the Hodge conjecture. First of all we consider the...
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex...
Abstract. We construct a family of abelian varieties of CM-type such that the Hodge conjecture holds...
La théorie de Hodge mixte de Deligne fournit des structures supplémentaires sur les groupes de cohom...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
Let R be the connected component of the identity of the variety of representations of a finitely gen...