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

Alex Eskin; Anton Zorich

doi:10.1007/s40598-015-0028-0

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arXiv · 1507.05296

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

Alex Eskin·Anton Zorich

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Abstract

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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Alex Eskin, Anton Zorich. 2015-07-19. Volumes of strata of Abelian differentials and Siegel-Veech constants in large genera. https://doi.org/10.1007/s40598-015-0028-0

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