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arXiv:2505.09627math.HO

Elliptic Curves and the Hopf Fibration

Nadir Hajouji, Steve Trettel

Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.

Abstract

By combining tools from different areas of mathematics, we obtain 3D visualizations of elliptic curves over different fields that faithfully capture the underlying algebra and geometry.

arXiv comments
8 pages, 14 figures
Journal reference
DOI
Subjects
math.HOHistory and Overview

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Linked by 1 identifiable commenter in 1 comment across 1 thread, from Jun 2025 to Jun 2025. Found in 1 HN submission from May 2025 to May 2025. Open submission discussions.

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Discussed in comments1 thread

  1. Elliptic Curves as Art 1 comment
    • I was prepared for disappointment, and instead found the procedures and results both beautiful and useful. That is, the authors present a visualization that preserves most of each curve's characteristics---at least the geometric ones. The underlying paper is an absolute joy to…

      ykonstantView on HNParent context

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