On Cyclic Trigonal Riemann Surfaces. I

DOI10.2307/1999139zbMath0584.14016OpenAlexW4243594651MaRDI QIDQ3708905

Robert D. M. Accola

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999139

zbMATH Keywords

Jacobianhyperelliptic theta functionscyclic trigonal Riemann surfacesvanishings of the associated theta function

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Special algebraic curves and curves of low genus (14H45) Theta functions and abelian varieties (14K25) Coverings of curves, fundamental group (14H30) Families, moduli of curves (analytic) (14H15)

Related Items (20)

Thomae formulae for general fully ramified \(Z_n\) curves ⋮ The full automorphism group of a cyclic \(p\)-gonal surface ⋮ On the topological types of symmetries of elliptic-hyperelliptic Riemann surfaces ⋮ EQUISYMMETRIC STRATA OF THE MODULI SPACE OF CYCLIC TRIGONAL RIEMANN SURFACES OF GENUS 4 ⋮ On triangular (D_{n})-actions on cyclic p-gonal Riemann surfaces ⋮ On gonality of Riemann surfaces ⋮ Thomae formula for general cyclic covers of \({{\mathbb {CP}}^1}\) ⋮ On automorphisms groups of cyclic \(p\)-gonal Riemann surfaces ⋮ On the existence of Weierstrass gap sequences on trigonal curves ⋮ The sigma function for trigonal cyclic curves ⋮ Finding Riemann surfaces with several \(p\)-gonal morphisms ⋮ Abelian functions for cyclic trigonal curves of genus 4 ⋮ Maximal order of automorphisms of trigonal Riemann surfaces ⋮ On cyclic \(p\)-gonal Riemann surfaces with several \(p\)-gonal morphisms ⋮ Groups of automorphisms of cyclic trigonal Riemann surfaces ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5230893 Hyperelliptic function solutions with finite genus ������ of coupled nonlinear differential equations*] ⋮ Topological classification of conformal actions on cyclic \(p\)-gonal Riemann surfaces ⋮ Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification ⋮ On Riemann surfaces with non-unique cyclic trigonal morphism ⋮ On the group algebra decomposition of a Jacobian variety

Cites Work

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• Riemann surfaces, theta functions, and Abelian automorphisms groups
• Strongly Branched Coverings of Closed Riemann Surfaces
• Varieties of special divisors on a curve. II.

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