International audienceWe study the generalized Hodge conjecture for certain sub-Hodge structure defined as the kernel of the cup product map with a big cohomology class, which is of Hodge coniveau at least 1. As predicted by the generalized Hodge conjecture, we prove that the kernel is supported on a divisor, assuming the Lefschetz standard conjecture
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed...
We prove an unconditional (but slightly weakened) version of the main result of our earlier paper wi...
We prove an unconditional (but slightly weakened) version of the main result of [13], which was, sta...
International audienceWe study the generalized Hodge conjecture for certain sub-Hodge structure defi...
This Thesis consists of three chapters. In Chapter 1, admitting the Lefschetz standard conjecture, w...
This paper is dedicated to the memory of Kunihiko Kodaira, on the occasion of his centenary Abstract...
We prove the functorial property of the coniveau filtration by showing that it is preserved by pushf...
16 pagesInternational audienceWe study higher genus Fan--Jarvis--Ruan--Witten theory of any chain po...
We begin by introducing the concept of a Hodge structure and give some of its basic properties, incl...
The goal of this paper is first of all to propose a strategy to attack the generalized Hodge conject...
Over the past 2O years classical Hodge theory has undergone several generalizations of great interes...
et [Nak2]. Nous avons construit deux objets filtrés fondamentaux: un complexe cristallin filtre ́ p...
1 Hodge theory on hyperkähler manifolds and its applica-tions In [V90], [V94], [V95:1], [V95:2], I ...
It is well-known (see eg [22]) that the topology of a compact Kähler manifold X is strongly restric...
In this paper, we review important facts related to the Hodge conjecture. Also, we review Chow class...
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed...
We prove an unconditional (but slightly weakened) version of the main result of our earlier paper wi...
We prove an unconditional (but slightly weakened) version of the main result of [13], which was, sta...
International audienceWe study the generalized Hodge conjecture for certain sub-Hodge structure defi...
This Thesis consists of three chapters. In Chapter 1, admitting the Lefschetz standard conjecture, w...
This paper is dedicated to the memory of Kunihiko Kodaira, on the occasion of his centenary Abstract...
We prove the functorial property of the coniveau filtration by showing that it is preserved by pushf...
16 pagesInternational audienceWe study higher genus Fan--Jarvis--Ruan--Witten theory of any chain po...
We begin by introducing the concept of a Hodge structure and give some of its basic properties, incl...
The goal of this paper is first of all to propose a strategy to attack the generalized Hodge conject...
Over the past 2O years classical Hodge theory has undergone several generalizations of great interes...
et [Nak2]. Nous avons construit deux objets filtrés fondamentaux: un complexe cristallin filtre ́ p...
1 Hodge theory on hyperkähler manifolds and its applica-tions In [V90], [V94], [V95:1], [V95:2], I ...
It is well-known (see eg [22]) that the topology of a compact Kähler manifold X is strongly restric...
In this paper, we review important facts related to the Hodge conjecture. Also, we review Chow class...
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed...
We prove an unconditional (but slightly weakened) version of the main result of our earlier paper wi...
We prove an unconditional (but slightly weakened) version of the main result of [13], which was, sta...
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