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Results tagged with complex-geometry
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user 5499
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.
1
vote
0
answers
215
views
Local properties of analytic elliptic surfaces
Let $D \subset \mathbb{C}$ be the unit disc, and let $E$ be a complex surface with a regular holomorphic map $\pi: E \to D$, whose fibers are all curves of genus one (so $E$ is a nonsingular elliptic …
- 932
9
votes
Accepted
Newlander-Nirenberg for surfaces
I'm not sure if the following is elementary enough, but it does only use standard PDE machinery (plus some basic Riemannian geometry). It's also nice in that it suggests an approach to proving the un …
- 932