Parabolicity of the regular locus of complex varieties

Ruppenthal, J.

doi:10.1090/proc12718

Parabolicity of the regular locus of complex varieties
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Proc. Amer. Math. Soc. 144 (2016), 225-233 Request permission

Abstract:

The purpose of this note is to show that the regular locus of a complex variety is locally parabolic at the singular set. This yields that the regular locus of a compact complex variety, e.g., of a projective variety, is parabolic. We give also an application to the $L^2$-theory for the $\overline {\partial }$-operator on singular spaces.

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