Regularity of pseudomeromorphic currents
Abstract
Let $X$ be a (reduced) pure-dimensional analytic space. We prove that direct images of principal value and residue currents on $X$ are smooth outside sets that are small in a certain sense. We also prove that the sheaf of such currents, provided that $X$ is smooth, is a stalkwise injective $\Ok_X$-module.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2017
- DOI:
- 10.48550/arXiv.1703.01247
- arXiv:
- arXiv:1703.01247
- Bibcode:
- 2017arXiv170301247A
- Keywords:
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- Mathematics - Complex Variables