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Results tagged with cv.complex-variables
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user 3696
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
7
votes
Accepted
Simultaneous convergence of powers of unit complex numbers
Yes. Let $z=(z_1,...,z_n)$, a point on the torus $(S^1)^n$. Since the torus is compact, the sequence $z^m$ has a convergent subsequence $z^{m_1}$, $z^{m_2}$,..., and we may choose it so that $k_j=m_{j …
- 3,929
5
votes
Zeros of the Weierstrass $\wp$-function
The branched cover (defined by the Weierstrass function) has degree 2. To obtain $\Bbb C\Bbb P^1$, we need to quotient the elliptic curve $\Bbb C/\Lambda$ by the transformation $z\to -z$, which has or …
- 3,929