Complete subvarieties in the projectivized strata of meromorphic differentials
Algebraic Geometry
2026-02-18 v2 Geometric Topology
Abstract
Here we give an explicit construction of a globally defined strictly plurisubharmonic function on projectivized strata of strictly meromorphic differentials with prescribed orders of zeros and poles. In particular, this yields a flat-geometric proof that these strata do not contain positive-dimensional complete subvarieties.
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Cite
@article{arxiv.2511.07102,
title = {Complete subvarieties in the projectivized strata of meromorphic differentials},
author = {Dawei Chen and Guillaume Tahar},
journal= {arXiv preprint arXiv:2511.07102},
year = {2026}
}
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9 pages