scientific article; zbMATH DE number 1270843

From MaRDI portal
Publication:4237133

DOI10.1155/S1073792898000658zbMath0923.11059arXivmath/9806171OpenAlexW2963245686MaRDI QIDQ4237133

Paul Vojta

Publication date: 17 May 1999

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9806171

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (33)

Heights on stacks and a generalized Batyrev–Manin–Malle conjectureLecture on the abc Conjecture and Some of Its ConsequencesIntegral points and orbits of endomorphisms on the projective planeHeight functions for motivesOn the canonical degrees of curves in varieties of general typeArithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi MochizukiHasse principle violations in twist families of superelliptic curvesLevel structures on abelian varieties and Vojta’s conjecturePortraits of preperiodic points for rational mapsA note on $p$-rational fields and the abc-conjectureIsotriviality, integral points, and primitive primes in orbits in characteristic \(p\)The 𝐴𝐵𝐶-Conjecture implies uniform bounds on dynamical Zsigmondy setsBoundedness in families with applications to arithmetic hyperbolicitySequences of powers with second differences equal to two and hyperbolicityUnnamed ItemOn arithmetic inequalities for points of bounded degreeDiophantine approximation with algebraic points of bounded degree.Nevanlinna theory and Diophantine approximationLevel structures on abelian varieties, Kodaira dimensions, and Lang's conjecture\(abc\) triplesABC implies the radicalized Vojta height inequality for curvesThe ABC conjecture implies Vojta's height inequality for curvesThe second main theorem for small functions and related problemsTwo exponential Diophantine equationsOn the exponential local-global principle for meromorphic functions and algebraic functionsDynamical uniform boundedness and the \(abc\)-conjectureHeight functions for motives. IIPowerful values of polynomials and a conjecture of VojtaCampana points, Vojta’s conjecture, and level structures on semistable abelian varietiesABC implies there are infinitely many non-Fibonacci-Wieferich primesThe exceptional set in Vojta’s conjecture for algebraic points of bounded degreeThe ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime argumentsIntersections in subvarieties of ${\mathbb {G}}_{\mathrm {m}}^l$ and applications to lacunary polynomials




This page was built for publication: