Footnotes to the birational geometry of primitive symplectic varieties
Christian Lehn, Giovanni Mongardi, Gianluca Pacienza

TL;DR
This paper extends key results on the birational geometry of irreducible holomorphic symplectic manifolds to include singular cases, broadening the understanding of their geometric properties.
Contribution
It introduces new methods to analyze the birational geometry of primitive symplectic varieties with singularities, expanding existing theories.
Findings
Extended birational geometry results to singular primitive symplectic varieties
Provided new insights into the structure of these varieties
Enhanced understanding of their geometric classification
Abstract
In this note, we extend to the singular case some results on the birational geometry of irreducible holomorphic symplectic manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology
