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Chamber structure of modular curves \(X_1(N)\)

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Publication:2283193
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DOI10.1007/s40598-019-00099-7zbMath1436.32058arXiv1710.08371OpenAlexW2963223853MaRDI QIDQ2283193

Guillaume Tahar

Publication date: 30 December 2019

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08371


zbMATH Keywords

modular curvestranslation surfaceflat structurewalls-and-chambers structure


Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Families, moduli of curves (analytic) (14H15) Formal category theory (18D70)


Related Items (1)

Towards a classification of connected components of the strata of \(k\)-differentials



Cites Work

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  • Flat surfaces and stability structures
  • Counting saddle connections in flat surfaces with poles of higher order
  • The fine structure of the moduli space of abelian differentials in genus 3
  • Connected components of the strata of the moduli space of meromorphic differentials
  • Quadratic differentials as stability conditions


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