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Results tagged with riemann-surfaces
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Riemann surfaces(Riemannian surfaces) is one dimensional complex manifold. For questions about classical examples in complex analysis, complex geometry, surface topology.
30
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Is there anything special about the Riemann surface $y^2 = x(x^{10}+11x^5-1)$?
I stumbled upon the fact that the Bolza surface can be obtained as the locus of the equation,
$$y^2 = \color{blue}{x^5-x}.$$
Its automorphism group has the highest order for genus $2$, namely $48$. I …
- 12.6k
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answer
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Bring's curve $\sum_{i=1}^5 x_i^k = 0$ for $k = 1,2,3$ and an analogue $\sum_{i=1}^6 y_i^k =...
Bring's curve or Bring's surface with genus 4 and $5!=120$ automorphisms can be given by the homogeneous equations,
$$x_1+x_2+x_3+x_4+x_5 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2 = \\x_1^3+x_2^3+x_3^3+x_4^3+x …
- 12.6k