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

Year: 2026

Type: article

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).

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.19674054

Author: Vivar Benítez, Jean Carlos

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7155086288

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