Poisson structures and birational morphisms associated with bundles on elliptic curves

DOI10.1155/S1073792898000415zbMath0933.14016arXivalg-geom/9712022MaRDI QIDQ4214814

Alexander Polishchuk

Publication date: 7 January 1999

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9712022

zbMATH Keywords

quantum groupsmoduli stacksPoisson structure on moduli spacesvector bundles on a complex elliptic curve

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Birational automorphisms, Cremona group and generalizations (14E07) Algebraic moduli problems, moduli of vector bundles (14D20) Elliptic curves (14H52) Vector bundles on curves and their moduli (14H60) Poisson algebras (17B63)

Related Items (14)

Feigin-Odesskii brackets, syzygies, and Cremona transformations ⋮ Sklyanin algebras and Hilbert schemes of points ⋮ Ten compatible Poisson brackets on \(\mathbb{P}^5\) ⋮ Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve ⋮ An interpretation of some Hitchin Hamiltonians in terms of isomonodromic deformation ⋮ Elliptic bihamiltonian structures from relative shifted Poisson structures ⋮ Elliptic R-matrices and Feigin and Odesskii's elliptic algebras ⋮ Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras ⋮ Elliptic singularities on log symplectic manifolds and Feigin–Odesskii Poisson brackets ⋮ Hitchin and Beauville-Mukai system: classical and quantum correspondence ⋮ Noncommutative elliptic Poisson structures on projective spaces ⋮ On the Heisenberg invariance and the elliptic Poisson tensors ⋮ Feigin and Odesskii's elliptic algebras ⋮ Shifted Poisson structures and moduli spaces of complexes

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