Abhyankar’s conjectures in Galois theory: Current status and future directions-Reference-Cited by-同舟云学术

Abhyankar’s conjectures in Galois theory: Current status and future directions

Published:2017-10-23 Issue:2 Volume:55 Page:239-287
ISSN:0273-0979
Container-title:Bulletin of the American Mathematical Society
language:en
Short-container-title:Bull. Amer. Math. Soc.

Author:

Harbater David,Obus Andrew,Pries Rachel,Stevenson Katherine

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/bull/2018-55-02/S0273-0979-2017-01594-7/S0273-0979-2017-01594-7.pdf

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