On a Harnack-Natanzon theorem for the family of real forms of Riemann surfaces

DOI10.1016/S0022-4049(96)00068-0zbMath0885.14026MaRDI QIDQ1373279

Grzegorz Gromadzki

Publication date: 7 April 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

bound number of ovalsinvolution of compact Riemann surface

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (24)

On triangular (D_{n})-actions on cyclic p-gonal Riemann surfaces ⋮ Non-commuting pairs of symmetries of Riemann surfaces ⋮ On the real nerve of the moduli space of complex algebraic curves of even genus ⋮ Unnamed Item ⋮ On symmetric representations of groups of automorphism of bordered Klein surfaces ⋮ Structural description of dihedral extended Schottky groups and application in study of symmetries of handlebodies ⋮ Unnamed Item ⋮ On Macbeath-Singerman symmetries of Belyi surfaces with \(\text{PSL} (2,p)\) as a group of automorphisms ⋮ The number of real ovals of a cyclic cover of the sphere ⋮ ON FIXED POINTS OF DOUBLY SYMMETRIC RIEMANN SURFACES ⋮ Symmetric Riemann surfaces with no points fixed by orientation preserving automorphisms ⋮ Mirrors of reflections of regular maps ⋮ Covers of Klein surfaces ⋮ Non-central fixed point free symmetries of bisymmetric Riemann surfaces ⋮ Riemann surfaces with maximal real symmetry ⋮ On Riemann surfaces of genus \(g\) with \(4g\) automorphisms ⋮ On the number of ovals of a symmetry of a compact Riemann surface ⋮ Exceptional points in the elliptic-hyperelliptic locus ⋮ On symmetries of compact Riemann surfaces with cyclic groups of automorphisms ⋮ ON OVALS OF NON-CONJUGATE SYMMETRIES OF RIEMANN SURFACES ⋮ On Singerman symmetries of a class of Belyi Riemann surfaces ⋮ On \(s\)-extremal Riemann surfaces of even genus ⋮ SCHOTTKY UNIFORMIZATIONS OF SYMMETRIES ⋮ Unnamed Item

Cites Work

• The gonality of Riemann surfaces under projections by normal coverings
• Moduli spaces for real algebraic curves and real abelian varieties
• Compactifications of moduli spaces in real algebraic geometry
• Real moduli of complex objects: Surfaces and bundles
• Symmetries of Riemann surfaces on which \(\text{PSL}(2,q)\) acts as a Hurwitz automorphism group
• Symmetries of Riemann surfaces with large automorphism group
• On non-Euclidean crystallographic groups
• SUBGROUPS OF N.E.C. GROUPS AND FINITE PERMUTATION GROUPS
• Klein surfaces
• On the Number of Real Curves Associated to a Complex Algebraic Curve
• The Classification of Non-Euclidean Plane Crystallographic Groups
• Klein surfaces and real algebraic function fields
• Automorphisms of compact non-orientable Riemann surfaces
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