Effective Archimedean Stark Theorems over Real Quadratic Fields: Quadratic Support, Shintani Transfer, and CM Descent

Paper and reproducibility archive for unconditional effective identifications of selected one-place archimedean Stark packets over real quadratic fields. The work develops a uniform quadratic-support theorem, an effective Shintani index-two transfer with certified height rigidity, and a cyclic-quartic CM norm bridge. The record contains the paper and supplement as directly previewable top-level PDF and TeX files, together with a self-checksumming companion archive of exact case data, Arb certificates, correction records, and compact proof-checking programs. Companion archive SHA-256: 79536ad9be167b3a18b499cd59dfd092ad03b29b8399b94a93ae709eaee29fe1.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21703306
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

Effective Archimedean Stark Theorems over Real Quadratic Fields: Quadratic Support, Shintani Transfer, and CM Descent

Hainan Zhao
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
article

Effective Archimedean Stark Theorems over Real Quadratic Fields: Quadratic Support, Shintani Transfer, and CM Descent

Hainan Zhao
article en

Abstract

Paper and reproducibility archive for unconditional effective identifications of selected one-place archimedean Stark packets over real quadratic fields. The work develops a uniform quadratic-support theorem, an effective Shintani index-two transfer with certified height rigidity, and a cyclic-quartic CM norm bridge. The record contains the paper and supplement as directly previewable top-level PDF and TeX files, together with a self-checksumming companion archive of exact case data, Arb certificates, correction records, and compact proof-checking programs. Companion archive SHA-256: 79536ad9be167b3a18b499cd59dfd092ad03b29b8399b94a93ae709eaee29fe1.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 7%
Polynomial and algebraic computation
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