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Results tagged with complex-geometry
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user 75853
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.
5
votes
Accepted
Two limit cycles which lie on the same leaf
Possibly a very "brute force" approach could be the following. Take an non-singular algebraic curve $H(x,y)=0$ given by a polynomial $H(x,y)$ with real coefficients that has at least two ovals in the …
- 460
2
votes
The type of a Riemann surface arising from a polynomial vector field
Well, in general not too much can be said without further information. For sure the leaf has a nontrivial fundamental group, so not an elliptic Reiamann surface (i.e. a Riemann sphere). But it could …
- 460
2
votes
Accepted
Question on Weil-Petersson metric on Teichmuller space
One way to define Teichmueller space is to fix a Riemann surface
$X$, with a fixed complex structure, and define the space of all
Beltrami differentials $\mathcal{M}(X)$ on $X$. Notice that in
this wa …
- 460