Moduli spaces of stable vector bundles on Enriques surfaces
Hoil Kim
Abstract
Open-access reader
Hoil Kim
Abstract
Open-access reader
Abstract. We show that the image of the moduli space of stable bundles on an Enriques surface by the pull back map is a Lagrangian subvariety in the moduli space of stable bundles, which is a symplectic variety, on the covering K3 surface. We also describe singularities and some other features of it.
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Abstract. We show that the image of the moduli space of stable bundles on an Enriques surface by the pull back map is a Lagrangian subvariety in the moduli space of stable bundles, which is a symplectic variety, on the covering K3 surface. We also describe singularities and some other features of it.
Key concepts: Subvariety, Moduli space, Mathematics, Vector bundle, Symplectic geometry, Pure mathematics, Gravitational singularity, Moduli