Eskin–Zorich large-genus Siegel–Veech constant conjecture
Eskin–Zorich large-genus Siegel–Veech constant conjecture
Let tend to infinity, let be a partition indexing a stratum of Abelian differentials, and let denote its area Siegel–Veech constant. Define the error term by the asserted asymptotic formula. Eskin–Zorich's Siegel–Veech constant conjecture. One has
where
This is the predicted uniform large-genus limit for area Siegel–Veech constants. The paper verifies it for the stratum with one zero and for the principal stratum, while the uniform assertion over all strata remains open in the source.
Sources & referencesView supporting material
Primary source
Adrien Sauvaget, “Volumes and Siegel-Veech constants of H(2g-2) and Hodge integrals”, arXiv:1801.01744 (2018).
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