Abhyankar's conjectures in Galois theory: Current status and future directions
In this paper we survey the major contributions of Abhyankar to the development of the theory of fundamental groups and Galois covers in positive characteristic. We first discuss the current status of four conjectures of Abhyankar about Galois covers in positive characteristic. Then we discuss resea...
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Veröffentlicht in: | Bulletin (new series) of the American Mathematical Society 2018-04, Vol.55 (2), p.239-287 |
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creator | Harbater, David Obus, Andrew Pries, Rachel Stevenson, Katherine |
description | In this paper we survey the major contributions of Abhyankar to the development of the theory of fundamental groups and Galois covers in positive characteristic. We first discuss the current status of four conjectures of Abhyankar about Galois covers in positive characteristic. Then we discuss research directions inspired by Abhyankar's work, including many open problems. |
doi_str_mv | 10.1090/bull/1594 |
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subjects | Decomposition Inertia Theorems Theory Topology |
title | Abhyankar's conjectures in Galois theory: Current status and future directions |
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