Genus of two extremal surfaces: Extremal discs, isometries and Weierstrass points

DOI10.1007/BF02784513zbMath1032.30027MaRDI QIDQ1860707

Gabino González-Diez, Ernesto Girondo

Publication date: 15 March 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) General geometric structures on low-dimensional manifolds (57M50) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (9)

COMPACT NON-ORIENTABLE SURFACES OF GENUS 5 WITH EXTREMAL METRIC DISCS ⋮ Extremal disc packings in compact hyperbolic surfaces ⋮ Shimura curves with many uniform dessins ⋮ Minimal length of two intersecting simple closed geodesics ⋮ Compact non-orientable surfaces of genus 4 with extremal metric discs ⋮ Genus 2 Belyĭ surfaces with a unicellular uniform dessin ⋮ Compact non-orientable surfaces of genus 6 with extremal metric discs ⋮ A brute force computer aided proof of an existence result about extremal hyperbolic surfaces ⋮ Compact non-orientable hyperbolic surfaces with an extremal metric disc

Cites Work

• Counting 1-vertex triangulations of oriented surfaces
• Extremal disks and modular surfaces
• The Euler characteristic of the moduli space of curves
• Generic Dirichlet polygons and the modular group
• The Geometry of the Hyperelliptic Involution in Genus Two
• Regular n-gons and Fuchsian groups
• On extremal discs inside compact hyperbolic surfaces
• SURFACES OF GENUS 2: GENERIC FUNDAMENTAL POLYGONS
• Moduli for Special Riemann Surfaces of Genus 2
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
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