Non-locally-free locus of O'Grady's ten dimensional example

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

paper · doi:10.48550/arxiv.1007.1544

Abstract

We give a completely explicit description of the fibers of the natural birational morphism from O'Grady's ten dimensional singular moduli space of sheaves on a K3 surface to the corresponding Donaldson-Uhlenbeck compactification.

Related

• Birational geometry of O'Grady's six dimensional example over the Donaldson-Uhlenbeck compactification
• Higher-dimensional O'Grady's resolutions and their exceptional locus
• O'Grady tenfolds as moduli spaces of sheaves
• La singularité de O'Grady
• Birational morphisms and Poisson moduli spaces