Notes on the Hodge Conjecture for Fermat Varieties
Genival da Silva Jr
TL;DR
This paper reviews a combinatorial approach to the Hodge Conjecture for Fermat varieties and reports new cases where the conjecture holds, advancing understanding of this complex mathematical problem.
Contribution
It introduces new verified cases of the Hodge Conjecture for Fermat varieties using a combinatorial method.
Findings
Identification of new cases where the Hodge Conjecture is true for Fermat varieties
Development of a combinatorial approach to study the conjecture
Enhanced understanding of the conjecture's validity in specific instances
Abstract
We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Advanced Combinatorial Mathematics