Rational points on log Fano threefolds over a finite field

DOI10.4171/JEMS/913zbMath1462.14045arXiv1512.05003OpenAlexW2967271405MaRDI QIDQ2279506

Hiromu Tanaka, Yoshinori Gongyo, Yusuke Nakamura

Publication date: 12 December 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05003

zbMATH Keywords

rational pointsFano varietiesrational chain connectednessWitt rationality

Mathematics Subject Classification ID

Rational points (14G05) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (17)

On the relative minimal model program for fourfolds in positive and mixed characteristic ⋮ On the canonical bundle formula and log abundance in positive characteristic ⋮ On convergence of stringy motives of wild pⁿ-cyclic quotient singularities ⋮ The minimal model program for threefolds in characteristic 5 ⋮ On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic ⋮ On p‐power freeness in positive characteristic ⋮ Minimal model program for semi-stable threefolds in mixed characteristic ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Polarized endomorphisms of normal projective threefolds in arbitrary characteristic ⋮ On the base point free theorem for KLT threefolds in large characteristic ⋮ Non-normal purely log terminal centres in characteristic \(p \geqslant 3\) ⋮ A Witt Nadel vanishing theorem for threefolds ⋮ Kawamata-Viehweg vanishing theorem for del Pezzo surfaces over imperfect fields of characteristic \(p> 3\) ⋮ Ordinary varieties with trivial canonical bundle are not uniruled ⋮ On the relative minimal model program for threefolds in low characteristics ⋮ On rationally connected varieties over \(C_1\) fields of characteristic 0 ⋮ ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC

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