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Yu-Min Zhong

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Preprint Aug 2026

Minimal Hyperbolic Area of Teichmuller Curves in Genus Two

We determine the minimum hyperbolic area of Teichmuller curves arising from holomorphic quadratic differentials on closed Riemann surfaces of genus two. The minimum is 3\pi/5, and it is attained precisely by quadratic differentials q=\omega^2 for which the translation surface (X,\omega) lies in the GL_2^+(R)-orbit of t...

Xiaoyu Su, Yu-Min Zhong · 0 citations

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