Timeline for Galois groups over function Fields (étale fundamental groups)
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Aug 2, 2010 at 20:16 | comment | added | S. Carnahan♦ | Oops, that should be either finite etale covers to finite sets or etale covers to sets, but not my particular mixture. | |
| Aug 2, 2010 at 20:15 | comment | added | S. Carnahan♦ | You do not need a definition of universal cover to have a notion of fundamental group. You can define the fundamental group of a pointed curve using a Tannakian recipe, as the automorphism group of a certain functor from the category of etale covers to the category of finite sets. | |
| Aug 2, 2010 at 19:32 | history | edited | Charles Matthews | CC BY-SA 2.5 |
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| Aug 2, 2010 at 19:16 | comment | added | Tony Scholl | I don't think that PARI has tailor-made commands to compute function field Galois groups. The (non-free) package MAGMA computes Galois groups over $\mathbb{F}_q(t)$ and does function field arithmetic. There are people around here who will know the answer for SAGE, or you could just check up the SAGE documentation online. | |
| Aug 2, 2010 at 17:40 | history | asked | john mangual | CC BY-SA 2.5 |