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 Teichmu ̈ller curves to determine the number of lattice points of given area. We also use this method to recal- culate the Masur–Veech volumes of the Prym loci P3 ⊂ H(4) and P4 ⊂ H(6) in genus 3 and 4.

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Author:David Torres-Teigell
URN:urn:nbn:de:hebis:30:3-620949
DOI:https://doi.org/10.1112/jlms.12345
ISSN:1469-7750
Parent Title (English):Journal of the London Mathematical Society
Publisher:Wiley
Place of publication:Oxford
Document Type:Article
Language:English
Date of Publication (online):2020/05/24
Date of first Publication:2020/05/24
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2021/08/23
Tag:11N45; 14N10 (secondary); 30F30; 32G15 (primary)
Volume:102
Issue:1
Page Number:32
First Page:405
Last Page:436
Note:
Open access funding enabled and organized by Projekt DEAL.
HeBIS-PPN:489232949
Institutes:Informatik und Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Sammlungen:Universitätspublikationen
Licence (English):License LogoCreative Commons - Namensnennung-Nicht kommerziell 4.0