Timeline for Counting the number of poles for rational functions in a coordinate ring of a curve
Current License: CC BY-SA 4.0
11 events
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Dec 29, 2018 at 20:32 | vote | accept | Felipe | ||
Dec 29, 2018 at 19:51 | answer | added | Will Sawin | timeline score: 1 | |
Dec 29, 2018 at 19:16 | history | edited | Felipe | CC BY-SA 4.0 |
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Dec 29, 2018 at 19:07 | history | edited | Felipe | CC BY-SA 4.0 |
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Dec 28, 2018 at 20:51 | comment | added | Felipe | Sure! Maybe I missed something. There is the paper I'm talking about: aip.scitation.org/doi/10.1063/1.530700 In the proof of the Theorem 3.4, the author said: The ring R is the coordinate ring of a curve $\Sigma$ of genus $g$ with $n$ points removed. Then he simply claims the Proposition 1. | |
Dec 28, 2018 at 18:44 | comment | added | dhy | Can you give a link to where Proposition 1 appears, to make it clearer what you are asking? As stated, it appears incorrect, unless by "Riemann surface" you really mean "algebraic curve, possibly singular" and you are picking a specific compactification. | |
Dec 28, 2018 at 15:15 | review | Close votes | |||
Jan 2, 2019 at 9:31 | |||||
Dec 28, 2018 at 15:03 | comment | added | Felipe | Poles for the rational functions defined in a Riemann surface. For example, $\mathbb{C}[t,t^{-1}]$ have two "allowed poles" in the Riemann sphere: $0$ and $\infty$. | |
Dec 28, 2018 at 15:01 | history | edited | Felipe | CC BY-SA 4.0 |
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Dec 28, 2018 at 14:57 | comment | added | abx | What do you mean by "allowed poles"? Poles of what? | |
Dec 28, 2018 at 14:34 | history | asked | Felipe | CC BY-SA 4.0 |