Computation of the topological type of a real Riemann surface
From MaRDI portal
Publication:5418490
DOI10.1090/S0025-5718-2014-02817-2zbMath1298.14067arXiv1204.4826MaRDI QIDQ5418490
No author found.
Publication date: 4 June 2014
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.4826
Symbolic computation and algebraic computation (68W30) Computational aspects of algebraic curves (14Q05)
Related Items
Efficient computation of multidimensional theta functions ⋮ Computational approach to compact Riemann surfaces ⋮ Sixty-Four Curves of Degree Six ⋮ A canonical form for a symplectic involution ⋮ Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spectral curves: the \(\mathrm{Gr}^{\mathrm{TP}}(2, 4)\) case
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Thom's lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets
- Computational approach to Riemann surfaces.
- Moduli spaces for real algebraic curves and real abelian varieties
- A polynomial-time algorithm for the topological type of real algebraic curve
- Self-adjoint determinantal representations of real plane curves
- Finite-gap solutions of the Davey-Stewartson equations
- An efficient method for analyzing the topology of plane real algebraic curves.
- Geometry and algebra of real forms of complex curves
- Efficient topology determination of implicitly defined algebraic plane curves.
- Hyperelliptic theta-functions and spectral methods
- Symmetries of Riemann surfaces on which \(\text{PSL}(2,q)\) acts as a Hurwitz automorphism group
- Matrix finite-zone operators
- Hyperelliptic theta-functions and spectral methods: KdV and KP solutions
- Symmetries of compact Riemann surfaces
- On the topology of real plane algebraic curves
- On the numerical evaluation of algebro-geometric solutions to integrable equations
- Klein's curve
- The topological configuration of a real algebraic curve
- Combinatorial group theory, Riemann surfaces and differential equations
- REAL THETA-FUNCTION SOLUTIONS OF THE KADOMTSEV–PETVIASHVILI EQUATION
- Asymptotically Fast Triangularization of Matrices over Rings
- Computing Riemann theta functions
- New Degeneration of Fay's Identity and its Application to Integrable Systems
- On the exact computation of the topology of real algebraic curves
- Computing with Plane Algebraic Curves and Riemann Surfaces: The Algorithms of the Maple Package “Algcurves”
- Algebraic Curves and Riemann Surfaces in Matlab
- Computing Riemann matrices of algebraic curves
