SNC Log Symplectic Structures on Fano Products

DOI10.4153/S0008439520000120zbMath1457.53058MaRDI QIDQ5148085

Katsuhiko Okumura

Publication date: 29 January 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Poisson structureprojective spacelog symplectic structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Fano varieties (14J45)

Cites Work

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• Symplectic and Poisson geometry on \( b\)-manifolds
• Classification of projective varieties of \(\Delta\)-genus one
• On polarized varieties of small Delta-genera
• Constructions and classifications of projective Poisson varieties
• A classification of SNC log symplectic structures on blow-up of projective spaces
• A classification of topologically stable Poisson structures on a compact oriented surface
• Characterizations of complex projective spaces and hyperquadrics
• Poisson modules and degeneracy loci
• Deformations of log-symplectic structures
• A characterization of diagonal Poisson structures
• Symplectic Groupoids of Log Symplectic Manifolds
• Elliptic singularities on log symplectic manifolds and Feigin–Odesskii Poisson brackets
• A new six-dimensional irreducible symplectic variety
• Examples and counter-examples of log-symplectic manifolds

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