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Compact Riemann surfaces with many systoles

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Publication:1922423
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DOI10.1215/S0012-7094-96-08406-9zbMath0867.30029MaRDI QIDQ1922423

Paul Schmutz Schaller

Publication date: 4 August 1997

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


zbMATH Keywords

systolesFuchsian arithmetic group


Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)


Related Items (4)

Systoles on Riemann surfaces ⋮ Hyperbolic manifolds with a large number of systoles ⋮ Hyperbolic surfaces with sublinearly many systoles that fill ⋮ Hyperbolic 3-manifolds with large kissing number



Cites Work

  • Arithmétique des algèbres de quaternions
  • Riemann surfaces with shortest geodesic of maximal length
  • Congruence subgroups and maximal Riemann surfaces
  • Systoles on Riemann surfaces
  • Products of conjugacy classes in groups
  • Arithmetic Fuchsian groups and the number of systoles
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