Nobuaki Onishi, Kōta Yoshioka
Abstract
We consider the singuralities of 2-dimensional moduli spaces of semi-stable sheaves on k3 surfaces. We show that the moduli space is normal, in particular the siguralities are rational double points. We also describe the exceptional locus on the resolution in terms of exceptional sheaves.
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We consider the singuralities of 2-dimensional moduli spaces of semi-stable sheaves on k3 surfaces. We show that the moduli space is normal, in particular the siguralities are rational double points. We also describe the exceptional locus on the resolution in terms of exceptional sheaves.
Key concepts: Moduli space, Mathematics, Pure mathematics, Locus (genetics), Gravitational singularity, Moduli, Resolution of singularities, Moduli of algebraic curves