Rational points on log Fano threefolds over a finite field

Research paper by Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka

Indexed on: 21 Jul '16Published on: 21 Jul '16Published in: Mathematics - Algebraic Geometry

Abstract

We prove the $W\mathcal{O}$-rationality of klt threefolds and the rational chain connectedness of klt Fano threefolds over a perfect field of characteristic $p>5$. As a consequence, any klt Fano threefold over a finite field has a rational point.