Masur–Veech volume of the gothic locus

We calculate the Masur–Veech volume of the gothic locus G in the stratum H(23) of genus 4. Our method is based on the use of the formulae for the Euler characteristics of gothic Teichmüller curves to determine the number of lattice points of given area. We also use this method to recalculate the Mas...

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Bibliographic Details
Published in:Journal of the London Mathematical Society 2020-08, Vol.102 (1), p.405-436
Main Author: Torres‐Teigell, David
Format: Article
Language:English
Subjects:
11N45
14N10 (secondary)
30F30
32G15 (primary)
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Summary:We calculate the Masur–Veech volume of the gothic locus G in the stratum H(23) of genus 4. Our method is based on the use of the formulae for the Euler characteristics of gothic Teichmüller curves to determine the number of lattice points of given area. We also use this method to recalculate the Masur–Veech volumes of the Prym loci P3⊂H(4) and P4⊂H(6) in genus 3 and 4.
ISSN:0024-6107
1469-7750
DOI:10.1112/jlms.12345