Deformations of compact Prym fibrations to Hitchin systems
Justin Sawon, Chen Shen
TL;DR
This paper explores how specific Prym fibrations on holomorphic symplectic varieties can be deformed into compactified Sp-Hitchin systems, revealing new geometric relationships.
Contribution
It introduces a deformation framework connecting Prym fibrations with compactified Sp-Hitchin systems in holomorphic symplectic geometry.
Findings
Prym fibrations can be deformed into Hitchin systems.
Holomorphic symplectic varieties admit new Lagrangian fibrations.
Connections between Prym varieties and Hitchin system compactifications.
Abstract
We describe certain Lagrangian fibrations by Prym varieties on holomorphic symplectic varieties that deform to compactifications of Sp-Hitchin systems.
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Taxonomy
TopicsGeometry and complex manifolds · Nonlinear Waves and Solitons · Geometric and Algebraic Topology