Bi-Hermitian metrics on Kato surfaces
Differential Geometry
2018-04-20 v2
Abstract
We investigate bi-Hermitian metrics on compact complex surfaces with odd first Betti number producing new examples with connected anti-canonical divisor using the general construction of \cite{abd15}. The result is a complete classification for all \it unbranched \rm Kato surfaces and a classification up to logarithmic deformation for \it intermediate \rm surfaces.
Cite
@article{arxiv.1607.00192,
title = {Bi-Hermitian metrics on Kato surfaces},
author = {A. Fujiki and M. Pontecorvo},
journal= {arXiv preprint arXiv:1607.00192},
year = {2018}
}
Comments
Major revision: we found a gap in the proof of Theorem 5.1 and withdrew it; a few Remarks added