Exceptional coverings and sums of 4 triangular numbers
From MaRDI portal
Publication:1210421
DOI10.1215/S0012-7094-92-06809-8zbMath0806.14013MaRDI QIDQ1210421
Jean-Louis Verdier, Armando Treibich
Publication date: 13 February 1995
Published in: Duke Mathematical Journal (Search for Journal in Brave)
KdV equationWeierstrass functionselliptic solitonshyperelliptic coveringtangential covering of an elliptic curve
KdV equations (Korteweg-de Vries equations) (35Q53) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Coverings in algebraic geometry (14E20) Relations of PDEs on manifolds with hyperfunctions (58J15)
Related Items
Complex periodic potentials with a finite number of band gaps, The Hermite-Krichever ansatz for Fuchsian equations with applications to the sixth Painlevé equation and to finite-gap potentials, Treibich-Verdier potentials and the stationary (m)KdV hierarchy, A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in $\mathbb{R}$, Wronskian addition formula and Darboux-Pöschl-Teller potentials, Picard potential and Hill's equation on a torus, Orbital bifurcations and shoaling of cnoidal waves, Deformation of the spectrum for Darboux-Treibich-Verdier potential along \(\mathrm{Re}\,\tau =\frac{1}{2}\), Elliptic finite-band potentials of a non-self-adjoint Dirac operator, Gravity duals for the Coulomb branch of marginally deformed \(\mathcal N = 4\) Yang-Mills, Spectra of elliptic potentials and supersymmetric gauge theories, Finite-gap solutions of the Fuchsian equations, An explicit characterization of Calogero–Moser systems, Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori, Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems, The Heun equation and the Darboux transformation, Nonlinear evolution equations and hyperelliptic covers of elliptic curves, Integral representation of solutions to Fuchsian system and Heun's equation, Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \), Hamiltonian system for the elliptic form of Painlevé VI equation, On algebro-geometric simply-periodic solutions of the KdV hierarchy, The Heun Equation and the Calogero-Moser-Sutherland System III: The Finite-Gap Property and the Monodromy, A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy, The geometry of generalized Lamé equation. I, Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach, The geometry of generalized Lamé equation. II: Existence of pre-modular forms and application, The Heun equation and the Calogero-Moser-Sutherland system. IV: The Hermite-Krichever ansatz, The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations, Even solutions of some mean field equations at non-critical parameters on a flat torus, Existence and non-existence of solutions of the mean field equations on flat tori
Cites Work
