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

2010/07/09 by Nagai, Yasunari
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.1546

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.

Related

• Non-locally-free locus of O'Grady's ten dimensional example
• Monodromy and birational geometry of O'Grady's sixfolds
• O'Grady tenfolds as moduli spaces of sheaves
• Birational geometry of Deligne-Mumford stacks
• Special orbifolds and birational classification: a survey