Vortex equation and reflexive sheaves

Details Vortex equation and reflexive sheaves Vortex equation and reflexive sheaves

2011-11-28

arxiv.org/abs/1111.6517v1

Mathematics

Differential Geometry

Scientific paper

It is known that given a stable holomorphic pair $(E ,\phi)$, where $E$ is a
holomorphic vector bundle on a compact K\"ahler manifold $X$ and $\phi$ is a
holomorphic section of $E$, the vector bundle $E$ admits a Hermitian metric
solving the vortex equation. We generalize this to pairs $(\E ,\phi)$, where
$\E$ is a reflexive sheaf on $X$.

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