Algebraic hyperbolicity of ramified covers of $\mathbb{G}^2_m$ (and integral points on affine subsets of $\mathbb{P}_2$)

DOI10.4310/jdg/1361844938zbMath1294.14013OpenAlexW1490566753WikidataQ115169486 ScholiaQ115169486MaRDI QIDQ360075

Publication date: 26 August 2013

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1361844938

zbMATH Keywords

height Euler characteristic Vojta's conjecture affine curve algebraically degenerate holomorphic curve degree of finite morphism finite morphism log-Kodaira dimension ramification divisor smooth affine surface

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Coverings in algebraic geometry (14E20) Algebraic functions and function fields in algebraic geometry (14H05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (11)

Lang-Vojta conjecture over function fields for surfaces dominating $\mathbb{G}_m^2$ ⋮ Greatest common divisors of $u-1, v-1$ in positive characteristic and rational points on curves over finite fields ⋮ On fewnomials, integral points, and a toric version of Bertini’s theorem ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Divisibility of polynomials and degeneracy of integral points ⋮ Fibered threefolds and Lang-Vojta’s conjecture over function fields ⋮ A variant of a theorem by Ailon-Rudnick for elliptic curves ⋮ Greatest common divisors and Vojta's conjecture for blowups of algebraic tori ⋮ Hyperbolicity of Varieties of Log General Type ⋮ Nonspecial varieties and generalised Lang–Vojta conjectures ⋮ Intersections in subvarieties of ${\mathbb {G}}_{\mathrm {m}}^l$ and applications to lacunary polynomials

This page was built for publication: Algebraic hyperbolicity of ramified covers of $\mathbb{G}^2_m$ (and integral points on affine subsets of $\mathbb{P}_2$)

Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\))