Algebraic intersection for hyperbolic surfaces

Manman Jiang; Huiping Pan

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arXiv · 2404.15921

Algebraic intersection for hyperbolic surfaces

Manman Jiang·Huiping Pan

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Abstract

We show that the algebraic intersection form of hyperbolic surfaces of genus $g$ has a minimum in the moduli space and that the minimum grows in the order $(\log g)^{-2}$ in terms of the genus. We also describe the asymptotic behavior of the algebraic intersection form in the moduli space as the homologically systolic length goes to zero.

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BibTeX RIS

Manman Jiang, Huiping Pan. 2024-04-24. Algebraic intersection for hyperbolic surfaces. https://arxiv.org/abs/2404.15921

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