Two remarks on sextic double solids

DOI10.1016/j.jnt.2006.03.001zbMath1111.14010OpenAlexW1973663385MaRDI QIDQ863953

Jihun Park, I. A. Chel'tsov

Publication date: 12 February 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.03.001

zbMATH Keywords

elliptic fibrationnumber fieldperfect field of characteristic 5potential density

Mathematics Subject Classification ID

Rational points (14G05) (3)-folds (14J30) Finite ground fields in algebraic geometry (14G15) Rational and birational maps (14E05) Fano varieties (14J45) Coverings in algebraic geometry (14E20)

Related Items

Birationally rigid Fano threefold hypersurfaces, Existence of Mori fibre spaces for 3-folds in char \(p\)

Uses Software

• Macaulay2

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Log models of birationally rigid varieties
• ABELIAN FIBRATIONS AND RATIONAL POINTS ON SYMMETRIC PRODUCTS
• Sextic Double Solids
• On the density of rational points on elliptic fibrations
• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields
• Density of rational points on elliptic \(K3\) surfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item