Minimal algebraic space filling curves on the product of projective lines

Menhaz Ahammed; Matthew Campbell; Han-Bom Moon

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arXiv · 2512.02796

Minimal algebraic space filling curves on the product of projective lines

Menhaz Ahammed·Matthew Campbell·Han-Bom Moon

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Abstract

We investigate minimal degree smooth algebraic space filling curves on the product of projective lines. We prove that there are plenty of examples in an explicit sense, extending the existence result of Homma and Kim.

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Menhaz Ahammed, Matthew Campbell, Han-Bom Moon. 2025-12-02. Minimal algebraic space filling curves on the product of projective lines. https://arxiv.org/abs/2512.02796

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