Symmetric tensors on the intersection of two quadrics and Lagrangian fibration

DOI10.1112/MOD.2024.3MaRDI QIDQ6665402

Arnaud Beauville, Jie Liu, Claire Voisin, Andreas Höring, Antoine Etesse

Publication date: 17 January 2025

Published in: Moduli (Search for Journal in Brave)

zbMATH Keywords

symmetric tensorsquadricscompletely integrable systemsLagrangian fibrationHitchin fibration

Mathematics Subject Classification ID

Fano varieties (14J45) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Cites Work

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• Stable bundles and integrable systems
• Geodesics on the ellipsoid
• Classification of vector bundles of rank 2 on hyperelliptic curves
• On moduli spaces of parabolic vector bundles of rank 2 over \(\mathbb{CP}^{1}\)
• Twisted symmetric differentials and the quadric algebra of subvarieties of \(\mathbb{P}^N\) of low codimension
• Rank 2 quasiparabolic vector bundles on \(\mathbb P^1\) and the variety of linear subspaces contained in two odd-dimensional quadrics
• Stable bundles of rank 2 and odd degree over a curve of genus 2
• Spectral curves and the generalised theta divisor.
• Algebraic geometry and local differential geometry
• Examples of Fano manifolds with non‐pseudoeffective tangent bundle

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