SOLUTION OF THE HODGE CONJECTURE

Sir William Vallance Douglas Hodge (1903-1975) proposed the famousHodge Conjecture, one of the most important and complex problems inmodern mathematics concerning the structure of certain geometric spaces,which connects algebraic geometry with differential geometry. The HODGE conjecture is true, and it can be demonstrated as a simple algebraic manipulation. In this manipulation, the intimate connection between analgebraic expression and geometry is realized.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-11
DOI
https://doi.org/10.5281/zenodo.18285750
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

SOLUTION OF THE HODGE CONJECTURE

MARCIO NUNES
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
article

SOLUTION OF THE HODGE CONJECTURE

MARCIO NUNES
article en

Abstract

Sir William Vallance Douglas Hodge (1903-1975) proposed the famousHodge Conjecture, one of the most important and complex problems inmodern mathematics concerning the structure of certain geometric spaces,which connects algebraic geometry with differential geometry. The HODGE conjecture is true, and it can be demonstrated as a simple algebraic manipulation. In this manipulation, the intimate connection between analgebraic expression and geometry is realized.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 25%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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SOLUTION OF THE HODGE CONJECTURE — MARCIO NUNES · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS