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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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How can one test whether a given analytic curve in the plane is algebraic or not?
Suppose $\Gamma$ is an analytic Jordan curve in the complex plane $\mathbb{C}$. What are ways to test whether $\Gamma$ is (contained in) an algebraic curve, i.e., whether there exists a real polynomia …
2
votes
Functions of one complex variable: geometric theory
I suggest "Functions of One Complex Variable" I and II, by John B. Conway. It is especially well-written and cover a lot of topics, from elementary ones (volume I) to more advanced (volume II).