On The Inertia Conjecture for Alternating group Covers
Algebraic Geometry
2020-11-11 v2
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 a multiple of the characteristic of the base field, a new \'etale -cover of the affine line is obtained using an explicit equation and it is shown that it has the minimal possible upper jump.
Cite
@article{arxiv.1711.07756,
title = {On The Inertia Conjecture for Alternating group Covers},
author = {Soumyadip Das and Manish Kumar},
journal= {arXiv preprint arXiv:1711.07756},
year = {2020}
}
Comments
14 pages, comments are welcome. The statement of the Theorem 4.7 of the previous version is incorrect and is removed. Added new results, thus generalizing the number of factors involved in the product, but now restricting the degrees of the Alternating groups. Proofs and preliminaries have been made more concise. Corrected typos