Birational geometry of O'Grady's six dimensional example over the Donaldson-Uhlenbeck compactification

TL;DR

This paper investigates the birational geometry of O'Grady's six-dimensional moduli space over the Donaldson-Uhlenbeck compactification by analyzing the locus of non-locally-free sheaves.

Contribution

It provides a detailed description of the birational structure of O'Grady's six-dimensional example in relation to the Donaldson-Uhlenbeck compactification.

Findings

Characterization of the locus of non-locally-free sheaves

Insights into the birational transformations of the moduli space

Connections between sheaf singularities and geometric structure

Abstract

We determine the birational geometry of O'Grady's six dimensional example over the Donaldson-Uhlenbeck compactification, by looking at the locus of non-locally-free sheaves on the relevant moduli space.