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arXiv · 1607.00192

Bi-Hermitian metrics on Kato surfaces

A. Fujiki·M. Pontecorvo
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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.

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A. Fujiki, M. Pontecorvo. 2016-07-01. Bi-Hermitian metrics on Kato surfaces. https://arxiv.org/abs/1607.00192

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