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Results tagged with complex-geometry
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user 170441
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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Submanifold of Kähler manifold is projective
Good time of day.
I have the following question.
$X$- is a compact Kähler manifold (it may be projective or not). And $Y\subset X$ a complex submanifold. Also there is a holomorphic two-form $\phi \in …
- 2,821
1
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0
answers
187
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About blow-up of Hopf Surface in a point
Good time of day. I have the following question.
$H$ - Hopf surface i.e. quotient $\mathbb{C}^2 \setminus \{ 0 \}$ by the action of $\mathbb Z$, where the action of $k\in \mathbb Z$ is given by $z \to …
- 103
1
vote
1
answer
334
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Milnor hypersurface
I cross-post a question that has not been answered on MSE, see here.
Consider the Milnor hypersurface $H_{ij}$, i.e., the smooth hypersufrace in $\mathbb CP^i \times \mathbb CP^j$ for fix pair of inte …
- 66.3k