RATIONALITY OVER NONCLOSED FIELDS OF FANO THREEFOLDS WITH HIGHER GEOMETRIC PICARD RANK

DOI10.1017/s1474748022000378arXiv2103.02934OpenAlexW3135637466WikidataQ114116247 ScholiaQ114116247MaRDI QIDQ6148602

Yuri G. Prokhorov, Alexander G. Kuznetsov

Publication date: 7 February 2024

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.02934

zbMATH Keywords

Fano varietiesrationalityHilbert schemesMori contractions

Mathematics Subject Classification ID

Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Rationality questions in algebraic geometry (14E08)

Related Items (1)

Rationality of Fano threefolds over non-closed fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur le cone des 1-cycles effectifs en dimension 3. (On the cone of effective 1-cycles in dimension 3)
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Anticanonical models of three-dimensional algebraic varieties
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
• Elementary contractions of Gorenstein threefolds
• The motivic nearby fiber and degeneration of stable rationality
• G-Fano threefolds, I
• G-Fano threefolds, II
• Some remark on rational points
• Flops
• UNIRATIONALITY OF CUBIC HYPERSURFACES
• Threefold extremal curve germs with one non-Gorenstein point
• Derived Categories of Families of Sextic del Pezzo Surfaces
• The Clemens–Griffiths method over non-closed fields
• Quasi-triviality of forms of Segre varieties
• Threefolds whose canonical bundles are not numerically effective

This page was built for publication: RATIONALITY OVER NONCLOSED FIELDS OF FANO THREEFOLDS WITH HIGHER GEOMETRIC PICARD RANK