3 papers
math.AG2026
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.AG2025
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.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…