3 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 be a smooth complex projective variety. Then 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.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…