On semiample vector bundles and parallelizable compact complex manifolds
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DOI: 10.1007/s00209-025-03819-2
Abstract: We provide a characterization of parallelizable compact complex manifolds and their quotients using holomorphic symmetric differentials. In particular we show that compact complex manifolds of Kodaira dimension 0 having strongly semiample cotangent bundle are parallelizable… read more here.
Keywords: compact complex; cotangent bundle; parallelizable compact; vector bundles ... See more keywords
Compact complex manifolds bimeromorphic to locally conformally Kähler manifolds
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DOI: 10.1007/s10711-017-0317-y
Abstract: We study compact complex manifolds bimeromorphic to locally conformally Kähler (LCK) manifolds. This is an analogy of studying a compact complex manifold bimeromorphic to a Kähler manifold. We give a negative answer for a question… read more here.
Keywords: complex manifolds; conformally hler; bimeromorphic locally; manifolds bimeromorphic ... See more keywords
Injectivity theorems on compact complex manifolds
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DOI: 10.1007/s11425-016-9090-5
Abstract: We use analytic methods in this paper to prove some new Enoki type injectivity theorems on compact complex manifolds which generalize more or less the original Enoki injectivity theorem. read more here.
Keywords: injectivity; complex manifolds; theorems compact; injectivity theorems ... See more keywords