View source for Pseudo algebraically closed field

A field $K$ for which every irreducible algebraic variety defined over $K$ has a $K$-rational point.  Clearly an [[algebraically closed field]] is PAC.  The Brauer group of a paC field is trivial.

See also [[Quasi-algebraically closed field]].

====References====
* Fried, Michael D.; Jarden, Moshe ''Field arithmetic'' (3rd revised ed.) Ergebnisse der Mathematik und ihrer Grenzgebiete. 3e Folge '''11''' Springer (2008) ISBN 978-3-540-77269-9 {{ZBL|1145.12001}}