Footnotes to the birational geometry of primitive symplectic varieties

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.