Hyperelliptic continued fractions and generalized Jacobians

DOI10.1353/ajm.2019.0000zbMath1422.11156arXiv1602.00934OpenAlexW2963491126WikidataQ128562661 ScholiaQ128562661MaRDI QIDQ4628453

Umberto Zannier

Publication date: 13 March 2019

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

Full work available at URL: https://arxiv.org/abs/1602.00934

zbMATH Keywords

hyperelliptic JacobiansSkolem-Mahler-Lech theorem

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Continued fractions and generalizations (11J70)

Related Items (10)

Linear Forms in Polylogarithms ⋮ Betti maps, Pell equations in polynomials and almost-Belyi maps ⋮ Pell surfaces ⋮ Hyperelliptic continued fractions in the singular case of genus zero ⋮ On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields ⋮ Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ Weierstrass semigroups from cyclic covers of hyperelliptic curves ⋮ Unnamed Item ⋮ On fundamental \(S\)-units and continued fractions constructed in hyperelliptic fields using two linear valuations ⋮ Padé approximation for a class of hypergeometric functions and parametric geometry of numbers

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