Submission date: 7 June 2011.

Abstract:

Fifteen years after their discovery, ample fields now stand at the center of research in contemporary Galois theory and attract more and more attention also from other areas of mathematics. This survey gives an introduction to the theory of ample fields and discusses open problems.

Mathematics Subject Classification: 14G05, 12E30

Keywords and phrases:

Full text arXiv 1106.1310: pdf, ps.