Toward Abhyankar's Inertia Conjecture for PSL_2(\ell)

Details Toward Abhyankar's Inertia Conjecture for PSL_2(\ell) Toward Abhyankar's Inertia Conjecture for PSL_2(\ell)

2010-10-14

arxiv.org/abs/1010.2819v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

For \ell \neq p odd primes, we examine PSL_2(\ell)-covers of the projective line branched at one point over an algebraically closed field of characteristic p, where PSL_2(\ell) 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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