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Results tagged with complex-geometry
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user 22491
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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Quotient by finite subgroups are biholomorphic
Let $X$ be a complex manifold and let $G$ and $H$ be two finite subgroups of its automorphism group $Aut(X)$. Suppose we are given that $X/G$ and $X/H$ are bi-holomorphic complex manifolds. What can w …
- 175
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Quotients of complex manifolds by symmetric group
$\DeclareMathOperator\Aut{Aut}$Let $X$ and $Y$ be two complex manifolds of dimension $n$, $n\geq 2$. Denote by $\Aut(X)$ and $\Aut(Y)$ the group of bi-holomorphisms of $X$ and $Y$, respectively. Suppo …
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