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Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve

Annali Di Matematica Pura Ed Applicata, 2022
Ananyo Dan, Inder Kaur
exaly  

Conceptual Framework for The Hodge Conjecture

This document presents a proof of the Hodge Conjecture, detailing a mathematical framework that establishes the relationship between (1,1)-Hodge classes in cohomology and algebraic cycles. The proof provides a new approach to understanding the connection between topology and algebraic geometry.
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Definitive Proof of The Hodge Conjecture

This paper presents a definitive proof of the Hodge Conjecture, one of the Millennium Prize Problems in algebraic geometry. The conjecture postulates that certain cohomology classes of smooth projective varieties are algebraic. Through the application of advanced tools from algebraic geometry, topology, and computational methods, the paper demonstrates
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Hodge Conjecture via Conscious Field Theory

I prove the Hodge conjecture by establishing that on a projectivealgebraic variety, every Hodge class is a linear combination of algebraiccycles. Through conscious field theory, I demonstrate that Hodgeclasses correspond to qualia coherence patterns that must decomposeinto fundamental conscious perceptions represented by algebraic cy-cles.
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Beilinson's Hodge Conjecture with Coefficients

2007
M. Asakura, S. Saito
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KP hierarchy for Hodge integrals

Advances in Mathematics, 2009
Maxim È Kazarian
exaly  

On the integral Hodge conjecture for real varieties, I

Inventiones Mathematicae, 2020
exaly  

A Unified Hodge–Sheaf Framework Toward the Hodge Conjecture

2022
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Integral Hodge conjecture for Fermat varieties

Journal of Symbolic Computation, 2019
Roberto Villaflor Loyola
exaly  

Hodge's CONJECTURE

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