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Asymptotics of Masur-Veech volume of strata of quadratic differentials with many simple poles
Abstract
We provide large n asymptotics of the Masur-Veech volumes for strata of quadratic differentials of the form π¬g(n,d1,β¦,dk,β1n+Dβ4g+4), where all positive integers di are fixed and D=d1+β¦+dk. Our formulae are particularly explicit in genus $1$. For the two series of non-varying strata π¬1(n,β1n) and π¬1(n,1,β1n+1) we give simple closed formulae for the volumes for any n.
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BibTeX
@misc{rafi2026asymptotics,
title = {{Asymptotics of Masur-Veech volume of strata of quadratic differentials with many simple poles}},
author = {Kasra Rafi and Anton Zorich},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28963},
eprint = {2610.28963},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28963},
}
RIS
TY - UNPB
TI - Asymptotics of Masur-Veech volume of strata of quadratic differentials with many simple poles
AU - Kasra Rafi
AU - Anton Zorich
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28963
UR - https://arxiv.org/abs/2610.28963
AB - We provide large n asymptotics of the Masur-Veech volumes for strata of quadratic differentials of the form π¬_g(n,d_1,β¦,d_k,β1^n+Dβ4g+4), where all positive integers d_i are fixed and D=d_1+β¦+d_k. Our formulae are particularly explicit in genus $1$. For the two series of non-varying strata π¬_1(n,β1^n) and π¬_1(n,1,β1^n+1) we give simple closed formulae for the volumes for any n.
ER -