Notes on the Hodge Conjecture for Fermat Varieties

2021/01/12 by Genival da Silva, Silva, Genival da
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2101.04739

Abstract

We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.

Related

• A Survey of the Hodge Conjecture for Abelian Varieties
• A note on the Hodge conjecture
• Known cases of the Hodge conjecture
• A Counter Example To the Hodge Conjecture
• An inductive approach to the Hodge conjecture for abelian varieties