The holomorphic symplectic structures on hyper-Kaehler manifolds of type A_{\infty}
Kota Hattori
TL;DR
This paper investigates the holomorphic symplectic structures on hyper-Kaehler manifolds of type A_{ abla}, utilizing torus actions to understand their geometric properties.
Contribution
It introduces a novel approach to analyze holomorphic symplectic structures on A_{ abla} type hyper-Kaehler manifolds through torus symmetry.
Findings
Characterization of symplectic structures on A_{ abla} hyper-Kaehler manifolds
Application of torus actions to study geometric properties
Insights into the structure of hyper-Kaehler manifolds of infinite type
Abstract
We study the holomorphic symplectic structures on hyper-Kaehler manifolds of type A_{\infty}, by using the torus action.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry