Complete subvarieties in the projectivized strata of meromorphic differentials
arXiv:2511.07102
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.
10 pages, 1 figure, to appear in Illinois Journal of Mathematics