Resolution of the Birch and Swinnerton-Dyer Conjecture, Vol. IV: Axiomatic Synthesis and the Universal Regularization Identity.

This fourth volume of the series 'Resolution of the Birch and Swinnerton-Dyer Conjecture' focuses on the axiomatic synthesis of the Vivar Operator. It establishes the Universal Regularization Identity and provides analytical and numerical evidence (1000-digit precision) for the finiteness of the Tate-Shafarevich group in high-rank elliptic curves (r=28).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-20
DOI
https://doi.org/10.5281/zenodo.19674055
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

Resolution of the Birch and Swinnerton-Dyer Conjecture, Vol. IV: Axiomatic Synthesis and the Universal Regularization Identity.

Jean Carlos Vivar Benítez
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
article

Resolution of the Birch and Swinnerton-Dyer Conjecture, Vol. IV: Axiomatic Synthesis and the Universal Regularization Identity.

Jean Carlos Vivar Benítez
article en

Abstract

This fourth volume of the series 'Resolution of the Birch and Swinnerton-Dyer Conjecture' focuses on the axiomatic synthesis of the Vivar Operator. It establishes the Universal Regularization Identity and provides analytical and numerical evidence (1000-digit precision) for the finiteness of the Tate-Shafarevich group in high-rank elliptic curves (r=28).

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 4%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Resolution of the Birch and Swinnerton-Dyer Conjecture, Vol. IV: Axiomatic Synthesis and the Universal Regularization Identity. — Jean Carlos Vivar Benítez · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS