Johann Bouali

activity

20132024

most citedMotives of quadric bundles

3 citations · 5 across the 9 of their papers we have counts for

collaborators

9 papers

math.AG2024

Degeneration of families of projective hypersurfaces and Hodge conjecture

Johann Bouali

We prove by induction on dimension the Hodge conjecture for smooth complex projective varieties. Let $X$ be a smooth complex projective variety. Then $X$ is birational to a possibl…

math.AG2023

Hodge conjecture for projective hypersurface

Johann Bouali

We show that a Hodge class of a complex smooth projective hypersurface is an analytic logarithmic De Rham class. On the other hand we show that for a complex smooth projective vari…

math.AG2023

De Rham logarithmic classes and Tate conjecture

Johann Bouali

We introduce the definition of De Rham logarithmic classes. We show that the De Rham class of an algebraic cycle of a smooth algebraic variety over a field of characteristic zero i…

math.AG2022

Complex vs etale Abel Jacobi map and algebraicity of the zero locus of etale normal functions

Johann Bouali

We prove, using $p$ -adic Hodge theory for open algebraic varieties, that for a smooth projective variety over a subfield $k \subset C$ which is of finite type over $\mathbb Q…

math.AG2022★ 2 cited

The De Rham, complex Hodge and $p$ -adic Hodge realization functors on the derived category of relative motives over a field of characteristic zero

Johann Bouali

We introduce the categories of geometric mixed Hodge modules on algebraic varieties over a subfield $k \subset C$ , and for a prime number $p$ , the categories of geometric $p$ …

math.AG2020

The Hodge realization functor on the derived category of relative motives

Johann Bouali

We give, for a complex algebraic variety $S$ , a Hodge realization functor $F_{S}^{H d g}$ from the derived category of constructible motives $D A_{c} (S)$ to the derived category…

math.AG2017

On the realization functor of the derived category of mixed motives

Johann Bouali

We give an alternative construction of the Betti realization functor on the derived category of motives of complex algebraic varieties via the category of CW complexes instead of t…

math.AG2016

Some results on the higher Abel jacobi map for open varieties

Johann Bouali

In this article, we study the infinitemisal invariant of the relative higher Abel Jacobi map of a smooth open morphism. We give a generalization of a theorem of Voisin to open vari…

math.AG2013★ 3 cited

Motives of quadric bundles

Johann Bouali

This article is about motives of quadric bundles. In the case of odd dimensional fibers and where the basis is of dimension two we give an explicit relative and absolute Chow-Künne…

Degeneration of families of projective hypersurfaces and Hodge conjecture

Hodge conjecture for projective hypersurface

De Rham logarithmic classes and Tate conjecture

Complex vs etale Abel Jacobi map and algebraicity of the zero locus of etale normal functions

The De Rham, complex Hodge and p-adic Hodge realization functors on the derived category of relative motives over a field of characteristic zero

The Hodge realization functor on the derived category of relative motives

On the realization functor of the derived category of mixed motives

Some results on the higher Abel jacobi map for open varieties

Motives of quadric bundles

The De Rham, complex Hodge and $p$ -adic Hodge realization functors on the derived category of relative motives over a field of characteristic zero