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Compact complex manifolds bimeromorphic to locally conformally Kähler manifolds

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0 Published in 2018 at "Geometriae Dedicata"

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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0 Published in 2018 at "Science China Mathematics"

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

Extension formulae on almost complex manifolds

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0 Published in 2019 at "Science China Mathematics"

DOI: 10.1007/s11425-019-1668-4

Abstract: We give the extension formulae on almost complex manifolds and give decompositions of the extension formulae. As applications, we study ( n , 0)-forms, the ( n , 0)-Dolbeault cohomology group and ( n, q… read more here.

Keywords: almost complex; formulae almost; extension formulae; complex manifolds ... See more keywords