A note on the super Krichever map

DOI10.1016/S0393-0440(00)00037-1zbMath0995.37056arXivnlin/0005062OpenAlexW1973913131WikidataQ126408228 ScholiaQ126408228MaRDI QIDQ5927612

Cesare Reina, Gregorio Falqui, Alessandro Zampa

Publication date: 23 October 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0005062

zbMATH Keywords

Baker-Akhiezer functionsuper Grassmanniansuper Krichever map

Mathematics Subject Classification ID

Supervarieties (14M30) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

• The variety of positive superdivisors of a supercurve (supervortices)
• Supermoduli spaces
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Deformation of complex superspaces and coherent sheaves on them
• Bihamiltonian geometry, Darboux coverings, and linearization of the KP hierarchy
• Krichever maps, Faà di Bruno polynomials, and cohomology in KP theory
• Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy
• A new super \(KP\) system and a characterization of the Jacobians of arbitrary algebraic super curves
• Supercurves, their Jacobians, and super KP equations
• The geometry of the super KP flows
• SUPER KRICHEVER FUNCTOR
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