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Results tagged with complex-geometry
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user 56667
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.
2
votes
0
answers
199
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Direct proof that Brody hyperbolic implies algebraically hyperbolic
Setup. Let $X$ be a compact complex manifold. Let $\sum\limits \omega_{jk}d{z_j}\otimes d\overline{z}_k$ be a Hermitian metric on $X$ with associated positive $(1,1)$-form $\omega = \frac{i}{2}\sum \o …
- 998
7
votes
1
answer
324
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Indeterminacy locus of meromorphic maps of rigid analytic spaces
Setup. Let $k$ be an algebraically closed field of characteristic zero. Let $X/k$ be a normal variety, and let $Y/k$ be a proper variety. It is well-known that the indeterminacy locus of a rational ma …
- 998
2
votes
Indeterminacy locus of meromorphic maps of rigid analytic spaces
Since this answer might be of use to other people in the future, I wanted to add an answer to this question. Brian Conrad provided me with a proof of this fact, which is written up Section 3 of arXiv …
- 998