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Bi-Hermitian metrics on Kato surfaces
Published 1 Jul 2016 in math.DG | (1607.00192v2)
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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