Notes on the Hodge conjecture for Fermat varieties

We review a combinatoric approach to the Hodge conjecture for Fermat varieties and announce new cases where the conjecture is true. We show the Hodge conjecture for Fermat fourfolds $ {X}_m^4 $ of degree m ≤ 100 coprime to 6, and also prove the conjecture for $ {X}_{21}^n $ and $ {X}_{27}^n $, for a...

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Bibliographic Details
Main Authors: Genival da Silva, Adrian Clingher
Format: Article
Language:English
Published: Cambridge University Press 2021-01-01
Series:Experimental Results
Online Access:https://www.cambridge.org/core/product/identifier/S2516712X21000149/type/journal_article