# Stably irrational hypersurfaces of small slopes

## Location

Math 383-N

Friday, October 11, 2019 4:00 PM

Stefan Schreieder (Munich)

We show that over any uncountable field of characteristic different from two, a very general hypersurface of dimension n>2 and degree at least log_2(n)+2 is not stably rational. This improves earlier results of Kollár and Totaro, who proved the same result under a linear bound on the degree.