Lagrangian fibrations on Nikulin-type orbifolds
Giacomo Nanni
TL;DR
This paper classifies Lagrangian fibrations on Nikulin orbifolds, a special class of singular holomorphic symplectic varieties, and confirms they satisfy the SYZ conjecture, advancing understanding of their geometric structure.
Contribution
It provides a classification of Lagrangian fibrations on Nikulin orbifolds and proves their compliance with the SYZ conjecture, a significant step in symplectic geometry.
Findings
Lagrangian fibrations are classified on Nikulin orbifolds
Nikulin orbifolds verify the SYZ conjecture
Advances understanding of singular holomorphic symplectic varieties
Abstract
We classify lagrangian fibrations on Nikulin orbifolds, a well studied class of singular irreducible holomorphic symplectic varieties, and prove they verify the SYZ conjecture.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology