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- W2017058574 abstract "The Kähler rank of compact complex surfaces was introduced by Harvey and Lawson in their 1983 paper on Kähler manifolds as a measure of “kählerianity”. Here we give a partial classification of compact complex surfaces of Kähler rank 1. These are either elliptic surfaces, or Hopf surfaces, or they admit a holomorphic foliation of a very special type. As a consequence we give an affirmative answer to the question raised by Harvey and Lawson whether the Kähler rank is a bimeromorphic invariant." @default.
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- W2017058574 date "2013-01-01" @default.
- W2017058574 modified "2023-09-25" @default.
- W2017058574 title "On compact complex surfaces of Kähler rank one" @default.
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- W2017058574 doi "https://doi.org/10.1353/ajm.2013.0022" @default.
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