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arXiv · 1711.07756

On The Inertia Conjecture for Alternating group Covers

Soumyadip Das·Manish Kumar
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Abstract

The wild part of Abhyankar's Inertia Conjecture for a product of certain Alternating groups is shown for any algebraically closed field of odd characteristic. For $d$ a multiple of the characteristic of the base field, a new \'etale $A_d$-cover of the affine line is obtained using an explicit equation and it is shown that it has the minimal possible upper jump.

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Soumyadip Das, Manish Kumar. 2017-11-21. On The Inertia Conjecture for Alternating group Covers. https://doi.org/10.1016/j.jpaa.2020.106363

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