On \(\mathbb{Q}\)-split Bézout intersection

DOI10.1016/S0022-4049(97)00153-9zbMath1001.14002OpenAlexW2086381499MaRDI QIDQ1295702

Tetsuji Shioda

Publication date: 26 November 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00153-9

zbMATH Keywords

linear pencil of plane curvesrational base points

Mathematics Subject Classification ID

Rational points (14G05) Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10) Algebraic functions and function fields in algebraic geometry (14H05) Pencils, nets, webs in algebraic geometry (14C21)

Cites Work

• An infinite family of elliptic curves over \(\mathbb{Q}\) with large rank via Néron's method
• Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
• Mordell-Weil lattices for higher genus fibration
• Generalization of a theorem of Manin-Shafarevich
• Constructing curves with high rank via symmetry
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