Feigin-Odesskii brackets, syzygies, and Cremona transformations

DOI10.1016/j.geomphys.2022.104584zbMath1494.14015arXiv2204.09152OpenAlexW4281570854WikidataQ114173421 ScholiaQ114173421MaRDI QIDQ2149483

Alexander Polishchuk

Publication date: 28 June 2022

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

Full work available at URL: https://arxiv.org/abs/2204.09152

zbMATH Keywords

syzygieselliptic curvePoisson bracketCremona transformation

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (1)

Elliptic R-matrices and Feigin and Odesskii's elliptic algebras

Cites Work

• Sklyanin elliptic algebras
• Algebraic geometry of Poisson brackets
• Geometric syzygies of elliptic normal curves and their secant varieties
• A formula for the Jacobian of a genus one curve of arbitrary degree
• Shifted Poisson structures and moduli spaces of complexes
• Compatible quadratic Poisson brackets related to a family of elliptic curves
• Quadro-cubic Cremona transformations and Feigin-Odesskii-Sklyanin algebras with 5 generators
• Pfaffian presentations of elliptic normal curves
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Poisson structures and birational morphisms associated with bundles on elliptic curves
• Holonomic Poisson manifolds and deformations of elliptic algebras
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