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- W2912055644 abstract "Abstract An Iwasawa manifold is a compact complex homogeneous manifold isomorphic to a quotient $G/Lambda $, where $G$ is the group of complex unipotent $3 times 3$ matrices and $Lambda subset G$ is a cocompact lattice. In this work, we study holomorphic submanifolds in Iwasawa manifolds. We prove that any compact complex curve in an Iwasawa manifold is contained in a holomorphic subtorus. We also prove that any complex surface in an Iwasawa manifold is either an abelian surface or a Kähler non-projective isotrivial elliptic surface of Kodaira dimension one. In the Appendix, we show that any subtorus in Iwasawa manifold carries complex multiplication." @default.
- W2912055644 created "2019-02-21" @default.
- W2912055644 creator A5033910326 @default.
- W2912055644 date "2018-11-07" @default.
- W2912055644 modified "2023-09-27" @default.
- W2912055644 title "Complex Geometry of Iwasawa Manifolds" @default.
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- W2912055644 doi "https://doi.org/10.1093/imrn/rny230" @default.
- W2912055644 hasPublicationYear "2018" @default.
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