# Bernt Ivar Utstøl Nødland​ (UiO): Rational varieties

Abstract: I will define rational, stably rational and unirational varieties and discuss properties and examples and non-examples of these classes of varieties. These include the equivalence of these three notions for curves (Luroth) and surfaces in characteristic 0 (Castelnuovo) and the different examples of Clemens-Griffiths, Iskovskikh-Manin and Artin-Mumford showing that for 3-folds these notions are not equivalent.$$\overline{\mathbb F}_p$$

Published Oct. 19, 2017 7:13 PM - Last modified Oct. 19, 2017 7:14 PM