Computing with Plane Algebraic Curves and Riemann Surfaces: The Algorithms of the Maple Package “Algcurves”

DOI10.1007/978-3-642-17413-1_2zbMath1213.14114OpenAlexW2114754476MaRDI QIDQ5390263

Matthew S. Patterson, Bernard Deconinck

Publication date: 1 April 2011

Published in: Computational Approach to Riemann Surfaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-17413-1_2

zbMATH Keywords

multiplicityRiemann surfacesmonodromyhomologygenusperiod matricesdelta invariant\texttt{Maple}branching numberAbel maps

Mathematics Subject Classification ID

Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items

Effective integration of ultra-elliptic solutions of the focusing nonlinear Schrödinger equation, Computing Riemann theta functions in Sage with applications, 𝐾₂ of certain families of plane quartic curves, Computation of the topological type of a real Riemann surface, Computational approach to hyperelliptic Riemann surfaces, A Numerical Transcendental Method in Algebraic Geometry: Computation of Picard Groups and Related Invariants, Computing periods of hypersurfaces, Efficient computation of the branching structure of an algebraic curve, Computation of Riemann matrices of hyperbolic quartic curves

Uses Software

• Maple
• algcurves