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Self-dual Yang-Mills fields and deformations of algebraic curves

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Publication:1173588
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DOI10.1007/BF02097708zbMath0737.35078MaRDI QIDQ1173588

Dmitry Korotkin

Publication date: 25 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

algebraic geometrytheta-functionsself-duality equation


Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Riemann-Hilbert problems in context of PDEs (35Q15) Theta functions and curves; Schottky problem (14H42) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)


Related Items

Deformations of algebraic curves and integrable nonlinear evolution equations, The structure of all extended supersymmetric self-dual gauge theories, Bianchi surfaces in \(\mathbb{R}^ 3\) and deformation of hyperelliptic curves, Algebraic geometric solutions of Einstein's equations: Some physical properties



Cites Work

  • Monopoles and Baker functions
  • The geometry of gauge fields
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