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arxiv: 1507.05296 · v2 · pith:YMTW252Wnew · submitted 2015-07-19 · 🧮 math.GT · math.DS

Volumes of strata of Abelian differentials and Siegel-Veech constants in large genera

classification 🧮 math.GT math.DS
keywords abelianconjecturesconstantsdifferentialssiegel-veechstatevolumesadvances
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We state conjectures on the asymptotic behavior of the volumes of moduli spaces of Abelian differentials and their Siegel-Veech constants as genus tends to infinity. We provide certain numerical evidence, describe recent advances and the state of the art towards proving these conjectures.

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