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The Hodge Conjecture and the Principle of Minimal Information Preservation

Year: 2026

Type: preprint

Abstract: This study presents a demonstration of the Hodge Conjecture based on the Principle of Minimal Information Preservation. The approach shows that an algebraic cycle can lose part of its identity during a transformation while preserving either its identification or its association with a rational combination of algebraic cycles.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22713471

Author: Diao, Ahmadou Moustapha

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212301544

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