Algebraic de Rham theorem and Baker-Akhiezer function

DOI10.4213/IM9533EzbMATH Open1544.14027MaRDI QIDQ6568711

I. M. Krichever, Leon A. Takhtadzhyan

Publication date: 8 July 2024

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

divisorBaker-Akhiezer functionRiemann surfaceline bundleLax representationRiemann-Roch theoremdifferentials of second kindDubrovin equationalgebraic de Rham theoremPicard and Jacobian varietiesvector field on Jacobian variety

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) de Rham cohomology and algebraic geometry (14F40)

Cites Work

• Integrals of the second kind on an algebraic variety
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
• Integration of nonlinear equations by the methods of algebraic geometry
• Vector bundles and Lax equations on algebraic curves
• Quantum field theories on algebraic curves. I. Additive bosons
• On the De Rham cohomology of algebraic varieties
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