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Results tagged with complex-geometry
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user 380483
Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.
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Complex manifold mapping to a Riemann surface it contains
Let $\Sigma \subset M$ be a compact Riemann surface of genus $g\geq 2$ in a compact complex manifold. If there is a non-trivial map $M\to \Sigma$ is $M$ a direct product of $\Sigma$ and another manifo …
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