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arXiv · 1512.05003

Rational points on log Fano threefolds over a finite field

Yoshinori Gongyo·Yusuke Nakamura·Hiromu Tanaka
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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.

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Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka. 2016-11-30. Rational points on log Fano threefolds over a finite field. https://arxiv.org/abs/1512.05003

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