Elliptic Curves and the Hopf Fibration
Visualizing elliptic curves using flat tori in the 3 sphere
| Authors | Nadir Hajouji, Steve Trettel |
|---|---|
| Journal | Bridges Math Art Conference Proceedings, 2025 |
| Publication | |
| arXiv | 2505.09627 |
| Categories | Algebraic Geometry, Topology, Mathematical Illustration |
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.
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