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
Extension formulae on almost complex manifolds
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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
On Hodge polynomials for nonalgebraic complex manifolds
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DOI: 10.1073/pnas.2415722122
Abstract: Significance Hodge theory connects the geometry of algebraic varieties to their topological properties via the Hodge decomposition and Hodge diamond. It has been central to developments in mirror symmetry, algebraic cycles, and motives. This paper… read more here.
Keywords: hodge polynomials; polynomials nonalgebraic; geometry; complex manifolds ... See more keywords
Visibility domains relative to the Kobayashi distance in complex manifolds
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DOI: 10.1090/tran/9566
Abstract: In this paper, we extend the notion of visibility relative to the Kobayashi distance to domains in arbitrary complex manifolds. Visibility here refers to a property resembling visibility in the sense of Eberlein–O’Neill for Riemannian… read more here.
Keywords: complex manifolds; relative kobayashi; kobayashi distance; visibility ... See more keywords