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Reduction of Divisors and the Clebsch System
- Source :
- Regular and Chaotic Dynamics. 27:307-319
- Publication Year :
- 2022
- Publisher :
- Pleiades Publishing Ltd, 2022.
-
Abstract
- There are a few Lax matrices of the Clebsch system. Poles of the Baker-Akhiezer function determine the class of equivalent divisors on the corresponding spectral curves. According to the Riemann-Roch theorem, each class has a unique reduced representative. We discuss properties of such reduced divisor on the spectral curve of $3\times 3$ Lax matrix having a natural generalization to $gl^*(n)$ case.<br />Comment: 14 pages, no figures, LaTeX with AMS fonts
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
Mechanical Engineering
Applied Mathematics
FOS: Physical sciences
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
Dynamical Systems (math.DS)
Mathematics::Algebraic Geometry
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Mathematics (miscellaneous)
Modeling and Simulation
14D06, 37J35, 58K10, 58K50, 70E15
FOS: Mathematics
Mathematics - Dynamical Systems
Exactly Solvable and Integrable Systems (nlin.SI)
Mathematical Physics
Subjects
Details
- ISSN :
- 14684845 and 15603547
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Regular and Chaotic Dynamics
- Accession number :
- edsair.doi.dedup.....3ee5d7faafe78cfe3c18a03eba596405