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Leo Alonso
Leo Alonso
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I just came to this conjecture (proved by M.Raynaud and D.Harbater in 1994) last weekend, in Fresnel and v.d.Put's book Rigid Geometry and Its Applications. It claims that all quasi p$p$-group G$G$ could be characterized as certain Galois group of a Galois covering Y to P_1$Y $to $\mathbf{P}_1$, only ramified at infinity (over algebraic closed field with positive character). Since many grandmasters have researched this conjecture, what is the importance of Abhyankar's conjecture ? Well, of course it relates to the inverse Galois theory...

I just came to this conjecture (proved by M.Raynaud and D.Harbater in 1994) last weekend, in Fresnel and v.d.Put's book Rigid Geometry and Its Applications. It claims that all quasi p-group G could be characterized as certain Galois group of a Galois covering Y to P_1, only ramified at infinity (over algebraic closed field with positive character). Since many grandmasters have researched this conjecture, what is the importance of Abhyankar's conjecture ? Well, of course it relates to the inverse Galois theory...

I just came to this conjecture (proved by M.Raynaud and D.Harbater in 1994) last weekend, in Fresnel and v.d.Put's book Rigid Geometry and Its Applications. It claims that all quasi $p$-group $G$ could be characterized as certain Galois group of a Galois covering $Y $to $\mathbf{P}_1$, only ramified at infinity (over algebraic closed field with positive character). Since many grandmasters have researched this conjecture, what is the importance of Abhyankar's conjecture ? Well, of course it relates to the inverse Galois theory...

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YUAN Zhiri
YUAN Zhiri
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About Abhyankar's conjecture

I just came to this conjecture (proved by M.Raynaud and D.Harbater in 1994) last weekend, in Fresnel and v.d.Put's book Rigid Geometry and Its Applications. It claims that all quasi p-group G could be characterized as certain Galois group of a Galois covering Y to P_1, only ramified at infinity (over algebraic closed field with positive character). Since many grandmasters have researched this conjecture, what is the importance of Abhyankar's conjecture ? Well, of course it relates to the inverse Galois theory...