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Timeline for About Abhyankar's conjecture

Current License: CC BY-SA 3.0

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Jul 7, 2015 at 2:45 vote accept YUAN Zhiri
Jul 6, 2015 at 20:38 answer added Jason Starr timeline score: 6
Jul 6, 2015 at 12:57 comment added YUAN Zhiri Yes, I think what you said is the strong version of Abhyankar's conjecture.
Jul 6, 2015 at 12:46 comment added ACL The statement you give is Raynaud's contribution. Harbater's theorem is for covering of arbitrary algebraic curves — it says that a group $G$ is the Galois group of a covering of a curve (genus $g$, minus $r$ points) over an algebraically closed field of characteristic $p$ iff its quotient $G/p(G)$ by the subgroup $p(G)$ generated by $p$-subgroups is such a group. By Grothendieck the latter property means that it is a quotient of the fundamental group of a compact Riemann surface of genus $g$ deprived of $r$ points.
Jul 6, 2015 at 12:30 answer added Donu Arapura timeline score: 13
Jul 6, 2015 at 11:57 history edited Leo Alonso CC BY-SA 3.0
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Jul 6, 2015 at 11:56 review First posts
Jul 6, 2015 at 12:11
Jul 6, 2015 at 11:53 history asked YUAN Zhiri CC BY-SA 3.0