Toward Abhyankar's Inertia Conjecture for PSL2()
Abstract
For ≠ p odd primes, we examine PSL2()-covers of the projective line branched at one point over an algebraically closed field of characteristic p, where PSL2() has order divisible by p. We show that such covers can be realized with a large variety of inertia groups. Furthermore, for each inertia group realized, we can realize all "sufficiently large" higher ramification filtrations.
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