Abstract. In this note we survey Hodge-theoretic formulae of Atiyah-Meyer type for genera and characteristic classes of complex algebraic varieties, and derive some new and interesting applications. We also present various exten-sions to the singular setting of the Chern-Hirzebruch-Serre signature formula. 1
We define and study the properties of the category ${\sf FHS}_n$ of formal Hodge structure of level ...
Abstract. We express the difference between the Hodge polynomials of the singular and resp. generic ...
We define and study the properties of the category FHSn of formal Hodge structure of level ≤n follow...
Abstract. We announce Hodge theoretic formulae of Atiyah-Meyer type for genera and characteristic cl...
Abstract. We study the behavior of Hodge-theoretic genera under morphisms of complex algebraic varie...
Abstract. For smooth manifolds, Atiyah and Meyer studied contributions of monodromy to usual signatu...
The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on ...
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...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
We develop a general theory of mixed Hodge structures over local or global function fields which in...
The space of unitary local systems of rank one on the complement of an arbitrary divisor in a comple...
We describe a new algorithm for computing Whitney stratifications of complex projective varieties. T...
We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's...
AbstractThe space of unitary local systems of rank one on the complement of an arbitrary divisor in ...
We define and study the properties of the category ${\sf FHS}_n$ of formal Hodge structure of level ...
Abstract. We express the difference between the Hodge polynomials of the singular and resp. generic ...
We define and study the properties of the category FHSn of formal Hodge structure of level ≤n follow...
Abstract. We announce Hodge theoretic formulae of Atiyah-Meyer type for genera and characteristic cl...
Abstract. We study the behavior of Hodge-theoretic genera under morphisms of complex algebraic varie...
Abstract. For smooth manifolds, Atiyah and Meyer studied contributions of monodromy to usual signatu...
The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on ...
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...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
We develop a general theory of mixed Hodge structures over local or global function fields which in...
The space of unitary local systems of rank one on the complement of an arbitrary divisor in a comple...
We describe a new algorithm for computing Whitney stratifications of complex projective varieties. T...
We prove a generalization of Demailly-Ein-Lazarsfeld's subadditivity formula and Mustata's...
AbstractThe space of unitary local systems of rank one on the complement of an arbitrary divisor in ...
We define and study the properties of the category ${\sf FHS}_n$ of formal Hodge structure of level ...
Abstract. We express the difference between the Hodge polynomials of the singular and resp. generic ...
We define and study the properties of the category FHSn of formal Hodge structure of level ≤n follow...