JournalsjemsVol. 21, No. 12pp. 3759–3795

Rational points on log Fano threefolds over a finite field

  • Yoshinori Gongyo

    University of Tokyo, Japan
  • Yusuke Nakamura

    University of Tokyo, Japan
  • Hiromu Tanaka

    University of Tokyo, Japan
Rational points on log Fano threefolds over a finite field cover
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Abstract

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

Cite this article

Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka, Rational points on log Fano threefolds over a finite field. J. Eur. Math. Soc. 21 (2019), no. 12, pp. 3759–3795

DOI 10.4171/JEMS/913