Supercurves, their Jacobians, and super KP equations

DOI10.1215/S0012-7094-99-09801-0zbMath1002.14007arXivalg-geom/9601012OpenAlexW2043125690MaRDI QIDQ1974920

Jeffrey M. Rabin, Maarten Bergvelt

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9601012

zbMATH Keywords

super GrassmannianJacobiansKP equationstau functionssuper Riemann surfacesuper theta functionsBerezinianssuper Heisenberg algebra

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Supervarieties (14M30) Supermanifolds and graded manifolds (58A50) Jacobians, Prym varieties (14H40) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Complex supergeometry (32C11)

Related Items (21)

Characters of topological \(N=2\) vertex algebras are Jacobi forms on the moduli space of elliptic supercurves ⋮ Geometry of Dual Pairs of Complex Supercurves ⋮ Unnamed Item ⋮ Serre duality, Abel's theorem, and Jacobi inversion for supercurves over a thick superpoint ⋮ Differential operators on the superline, Berezinians, and Darboux transformations ⋮ On super cluster algebras based on super Plücker and super Ptolemy relations ⋮ The combinatorics of supertorus sheaf cohomology ⋮ Bilinearization and soliton solutions of a supersymmetric multicomponent coupled dispersionless integrable system ⋮ The moduli space of stable supercurves and its canonical line bundle ⋮ \(T\)-duality, and the \(K\)-theoretic partition function of type IIA superstring theory ⋮ Symmetries of supersymmetric CKP hierarchy and its reduction ⋮ SUSY vertex algebras and supercurves ⋮ Duality and the Abel Map for Complex Supercurves ⋮ A note on the super Krichever map ⋮ \(\mathcal D\)-modules on 11 supercurves ⋮ Superopers on supercurves ⋮ \(\mathcal{N} = 2\) super-Teichmüller theory ⋮ Families of 0-dimensional subspaces on supercurves of dimension \(1|1\) ⋮ On super Plücker embedding and cluster algebras ⋮ Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy ⋮ Berezinians, exterior powers and recurrent sequences

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