On the Parshin-Arakelov theorem and integral sections on elliptic surfaces

DOI10.1007/s13366-022-00639-xzbMath1527.14065OpenAlexW4281989561WikidataQ113899255 ScholiaQ113899255MaRDI QIDQ6103600

Xuan Kien Phung

Publication date: 27 June 2023

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-022-00639-x

zbMATH Keywords

function fieldcurveelliptic surfacemoduli space of curvesintegral pointParshin-Arakelov's theorem

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Elliptic curves (14H52) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Finiteness criteria and uniformity of integral sections in some families of abelian varieties

Cites Work

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• Elliptic Surfaces
• The strong $ABC$ conjecture over function fields (after McQuillan and Yamanoi)
• The Arithmetic of Elliptic Curves
• Bounds for curves in abelian varieties
• FAMILIES OF ALGEBRAIC CURVES WITH FIXED DEGENERACIES
• Uniformity of rational points
• Abelian covers of algebraic varieties.

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