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arXiv · 2312.09268

Hodge conjecture for projective hypersurface

Johann Bouali
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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 $(d,d)$ is the class of codimension $d$ algebraic cycle. We deduce the Hodge conjecture for smooth projective hypersurfaces.

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Johann Bouali. 2023-12-14. Hodge conjecture for projective hypersurface. https://arxiv.org/abs/2312.09268

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