Keywords: primary; 14K15; secondary; 14H70; Elliptic fibration; Canonical lift; Complex multiplication; Frobenius lift;
مقالات ISI (ترجمه نشده)
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Keywords: 14K15; 14H70; Frobenius lifts; Elliptic curves; Euler top;
Keywords: 14H70; 17B80; 35Q53; 37K05; 37K10Lie algebra; Integrable Hamiltonian system; Curve motions; Planar filament equation; mKdV equation
Keywords: 53D17; 37J35; 14H70; 14H40Integrable systems; Jacobians; Algebraic integrability; Curves with automorphisms
On a family of KP multi-line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non-periodic Toda hierarchy
Keywords: 37K40; 37K20; 14H50; 14H70; Total positivity; KP equation; Hyperelliptic curves; Duality of Grassmann cells; Space-time inversion; Finite non periodic Toda hierarchy;
Bohr–Sommerfeld Lagrangians of moduli spaces of Higgs bundles
Keywords: 14H60; 14H70; 53D12Bohr–Sommerfeld Lagrangian; Higgs bundle; C∗C∗-action; Nilpotent cone
Generic hyperelliptic Prym varieties in a generalized Hénon–Heiles system
Keywords: 14H70; 14H40; 70H06; 37J35Separation of variables; Spectral curves; Prym varieties; Bäcklund transformation
Geometric triviality of the strongly minimal second Painlevé equations
Keywords: primary; 03C60; 14H05; 34M55; secondary; 14H70; Second Painlevé equations; Geometric triviality; Model theory; Differential algebra;
A note on the quasi-periodic solutions of the modified Boussinesq hierarchy
Keywords: 35Q51; 37K10; 14H70; 35C99The modified Boussinesq hierarchy; Explicit quasi-periodic solutions; Trigonal curve
Tangency and a ruled surface associated with a Hitchin system
Keywords: 14C20; 14H60; 14H70; 14J26; 32L10Elementary transformation; Elliptic soliton; Hitchin system; Residue section; Ruled surface; Tangential cover
Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation
Keywords: 35Q51; 37K10; 14H70; 35C99; Two-component nonlinear Klein-Gordon equation; Quasi-periodic solutions; Trigonal curve;
Algebraic geometry of the eigenvector mapping for a free rigid body
Keywords: 14H52; 14H70; 14J27; 14J28; 70E15Free rigid body; Manakov equation; Eigenvector mapping; Kummer surface; Cremona involution; Elliptic surface
Periodic billiard orbits on nn-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations
Keywords: 14H70; 37J35; 70H12Integrable billiard systems; Transcendental billiard maps; Geodesic flow on quadrics; Isoperiodic deformations
The number of discrete Painlevé equations is infinite
Keywords: 35A13; 14H70; 37J99Integrable mappings; Weyl groups; Discrete Painlevé equations
Non-Hamiltonian systems separable by Hamilton-Jacobi method
Keywords: 70H06; 70H20; 37J35; 14H70;
Jacobian variety and integrable system — after Mumford, Beauville and Vanhaecke
Keywords: primary; 37J35; secondary; 14H70; 14H40Completely integrable system; Mumford system; Jacobian variety; Spectral curve