Timeline for extension of absolute values in function fields and product formula
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Jul 8, 2019 at 2:36 | comment | added | joaopa | Sorry my queston is not relevant. I have difficulties with embeddings. | |
Jul 5, 2019 at 14:55 | comment | added | Felipe Voloch | $\deg(x)$ is not well defined the way you suggest. $K$ may have several different embeddings into $\Omega$. You may want to define $\deg(x) = [K:\mathbb{F}_q(x)]$ but that's a different question. | |
Jul 4, 2019 at 13:01 | comment | added | joaopa | I use it through $\deg$. | |
Jul 4, 2019 at 0:52 | comment | added | LSpice | I just meant that, after defining $\Omega$, it seems that you do not use it again. | |
Jul 4, 2019 at 0:35 | history | edited | joaopa | CC BY-SA 4.0 |
edited body
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Jul 4, 2019 at 0:28 | comment | added | joaopa | $\Omega$ is where the $-\deg$ valuation lives. I could have taken only an algebraic closure of $\mathbb F_q(\left(\left(\frac 1T\right)\right)$ if you prefer. | |
Jul 4, 2019 at 0:03 | comment | added | LSpice | What is the rôle of $\Omega$ in your question? | |
Jul 3, 2019 at 23:37 | history | asked | joaopa | CC BY-SA 4.0 |