On Weil's "Theoreme de Decomposition

DOI10.2307/2374261zbMath0516.12009OpenAlexW2316256851MaRDI QIDQ3663396

Enrico Bombieri

Publication date: 1983

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374261

zbMATH Keywords

heightsHilbert irreducibility theoremG- functionsWeil decomposition theoremarithmetic on algebraic varieties

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Global ground fields in algebraic geometry (14G25) Algebraic functions and function fields in algebraic geometry (14H05) General field theory (12E99)

Related Items (16)

Quasi-Equivalence of Heights and Runge’s Theorem ⋮ Quasi-equivalence of heights in algebraic function fields of one variable ⋮ Integral points of bounded degree on affine curves ⋮ Serre's uniformity problem in the split Cartan case ⋮ On the global distance between two algebraic points on a curve. ⋮ Integral \(j\)-invariants and Cartan structures for elliptic curves ⋮ Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves ⋮ A tubular variant of Runge's method in all dimensions, with applications to integral points on Siegel modular varieties ⋮ Basics on the theory of heights and its applications to certain Diophantine problems ⋮ Rational preimages in families of dynamical systems ⋮ Unnamed Item ⋮ HEIGHTS AND LOGARITHMIC gcd ON ALGEBRAIC CURVES ⋮ Extending Runge’s method for integral points ⋮ Variations on a theme of Runge: effective determination of integral points on certain varieties ⋮ A HASSE PRINCIPLE FOR PERIODIC POINTS ⋮ The Skolem-Abouzaïd theorem in the singular case

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