Numerically anticanonical divisors on Kato surfaces |
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Institution: | 1. Research Institute for Mathematical Sciences, Kyoto University, Japan;2. Dipartimento di Matematica e Fisica, Roma Tre University, Italy |
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Abstract: | The compact curves of an intermediate Kato surface form a basis of . We present a way to compute the associated rational coefficients of the first Chern class . We get in particular a simple geometric obstruction for to be an integral class, or equivalently index . In the final part we discuss relations with some recent work of Dloussky (2011) and Oeljeklaus and Toma (2009). |
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Keywords: | Non Kähler surfaces Kato surfaces Holomorphic vector fields |
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