Rational points on log Fano threefolds over a finite field

By Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka. Journal of the European Mathematical Society (Print), 2015

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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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

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