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Lang's Conjectures, Fibered Powers, and Uniformity

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Publication:1372191
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zbMath0887.14010MaRDI QIDQ1372191

Dan Abramovich, José Felipe Voloch

Publication date: 11 November 1997

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119369

zbMATH Keywords

Lang's conjecturepositive characteristicarithmetic geometryvarieties of general typefibered power conjectureuniformity of rational points


Mathematics Subject Classification ID

Rational points (14G05) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic functions and function fields in algebraic geometry (14H05)


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A high fibered power of a family of varieties of general type dominates a variety of general type, Uniform boundedness for rational points, Rational points on algebraic curves that change genus, On the Bombieri-Lang conjecture over finitely generated fields, Expander graphs, gonality, and variation of Galois representations, New points on curves, The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties, Hyperbolicity of Varieties of Log General Type, Remarks about uniform boundedness of rational points over function fields, Average distribution of prime ideals in families of number fields, Correlation for surfaces of general type



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