On Davenport's bound for the degree of f³ - g² and Riemann's Existence Theorem
From MaRDI portal
Publication:4839689
DOI10.4064/aa-71-2-107-137zbMath0840.11015OpenAlexW1243607821MaRDI QIDQ4839689
Publication date: 17 July 1995
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/206763
degreelower boundweighted trees\(abc\) conjectureRiemann existence theoremHall conjecturenon-constant polynomials
Arithmetic theory of algebraic function fields (11R58) Diophantine inequalities (11D75) Global ground fields in algebraic geometry (14G25)
Related Items (16)
Riemann existence theorem and construction of real algebraic curves. ⋮ On the Newton Polygon of a Jacobian Mate ⋮ On certain permutation groups and sums of two squares ⋮ On some notions of good reduction for endomorphisms of the projective line ⋮ Minimum degree of the difference of two polynomials over~\({\mathbb Q}\), and weighted plane trees ⋮ Proof of the existence of certain triples of polynomials ⋮ Davenport–Zannier polynomials over ℚ ⋮ Weighted trees with primitive edge rotation groups ⋮ Neighboring powers ⋮ Good reduction of certain covers \(\mathbb{P}^1\to\mathbb{P}^1\) ⋮ A Stothers-Mason theorem with a difference radical ⋮ Links between Mason's theorem, Belyi descent and different versions of the \((abc)\)-conjecture ⋮ Quasi-polynomial mappings with constant Jacobian ⋮ The Hurwitz existence problem for surface branched covers ⋮ Miyanishi's characterization of the affine 3-space does not hold in higher dimensions ⋮ PL DENSITY INVARIANT FOR TYPE II DEGENERATING K3 SURFACES, MODULI COMPACTIFICATION AND HYPER-KÄHLER METRIC
This page was built for publication: On Davenport's bound for the degree of f³ - g² and Riemann's Existence Theorem
