Invariant hypercomplex structures and algebraic curves

DOI10.1002/mana.202100223arXiv2104.11147OpenAlexW3154828557MaRDI QIDQ6047449

Roger Bielawski

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11147

zbMATH Keywords

hypercomplex structuresHilbert schemes of morphisms

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Algebraic functions and function fields in algebraic geometry (14H05) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Cites Work

• Unnamed Item
• Jacobiennes des courbes spectrales et systèmes hamiltoniens complètement intégrables. (The Jacobians of spectral curves and completely integrable Hamiltonian systems)
• On the construction of monopoles
• Twistor geometry for hyperkähler metrics on complex adjoint orbits
• On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
• Jumps, folds and hypercomplex structures
• Instantons and the geometry of the nilpotent variety
• Differential geometry of Hilbert schemes of curves in a projective space
• A Hyper-KÄHlerian Structure on Coadjoint Orbits of a Semisimple Complex Group
• Higher-dimensional algebraic geometry

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