Hodge conjecture for projective hypersurface
Algebraic Geometry
2025-10-17 v14
Abstract
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 variety an analytic logarithmic De Rham class of of type is the class of codimension algebraic cycle. We deduce the Hodge conjecture for smooth projective hypersurfaces.
Keywords
Cite
@article{arxiv.2312.09268,
title = {Hodge conjecture for projective hypersurface},
author = {Johann Bouali},
journal= {arXiv preprint arXiv:2312.09268},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2303.09932