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arXiv · 2610.28963

Asymptotics of Masur-Veech volume of strata of quadratic differentials with many simple poles

Kasra Rafi·Anton Zorich
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Abstract

We provide large $n$ asymptotics of the Masur-Veech volumes for strata of quadratic differentials of the form $\mathcal{Q}_g(n,d_1,\dots,d_k,-1^{n+D-4g+4})$, where all positive integers $d_i$ are fixed and $D=d_1+\dots+d_k$. Our formulae are particularly explicit in genus $1$. For the two series of non-varying strata $\mathcal{Q}_1(n,-1^n)$ and $\mathcal{Q}_1(n,1,-1^{n+1})$ we give simple closed formulae for the volumes for any $n$.

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Kasra Rafi, Anton Zorich. 2026-10-20. Asymptotics of Masur-Veech volume of strata of quadratic differentials with many simple poles. https://arxiv.org/abs/2610.28963

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