 

Moshe Jarden and Elad Paran
Galois theory over integral Tate algebras view print


Published: 
June 3, 2012 
Keywords: 
Galois theory, Tate algebras, semifree profinite groups, ample fields, Krull fields, Hilbertian fields 
Subject: 
12E30 


Abstract
We prove that if F is the quotient field of an integral
Tate algebra over a complete nonarchimedean absolute valued field
K, then Gal(F) is semifree.


Acknowledgements
Research supported by the Minkowski Center for Geometry at Tel Aviv University, established by the Minerva Foundation, and by an ISF grant.


Author information
Moshe Jarden:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978
jarden@math.tau.ac.il
Elad Paran:
Mathematics Department, The Open University of Israel, Raanana 43107, Israel
paranela@post.tau.ac.il

