Exact Fox Logarithms and Hermitian Positivity for a Specified Doubled Reflection Tuple of Type G34

This working paper presents exact computational results for a specified doubled reflection tuple associated with the complex reflection group G34. The results include exact Fox logarithm operators, rank-sixteen certificates, Hermitian polarization, positivity calculations, and finite arithmetic verification. The calculations concern a specified algebraic model and do not establish the geometric Hurwitz-family identification, the required period-map rank, or the Hodge conjecture. This is an unrefereed computational mathematics preprint prepared with AI-assisted mathematical analysis, programming, and verification.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23936706
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

Exact Fox Logarithms and Hermitian Positivity for a Specified Doubled Reflection Tuple of Type G34

Miyoboku Sage
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
preprint

Exact Fox Logarithms and Hermitian Positivity for a Specified Doubled Reflection Tuple of Type G34

Miyoboku Sage
preprint en

Abstract

This working paper presents exact computational results for a specified doubled reflection tuple associated with the complex reflection group G34. The results include exact Fox logarithm operators, rank-sixteen certificates, Hermitian polarization, positivity calculations, and finite arithmetic verification. The calculations concern a specified algebraic model and do not establish the geometric Hurwitz-family identification, the required period-map rank, or the Hodge conjecture. This is an unrefereed computational mathematics preprint prepared with AI-assisted mathematical analysis, programming, and verification.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
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