Bounding integral points on the Siegel modular variety \(A_2(2)\)

DOI10.1007/s40993-023-00427-zOpenAlexW3046180608MaRDI QIDQ2696581

Josha Box, Samuel Le Fourn

Publication date: 14 April 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14422

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Heights (11G50)

Cites Work

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• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Variations on a theme of Runge: effective determination of integral points on certain varieties
• On the geometry of a Siegel modular threefold
• A tubular variant of Runge's method in all dimensions, with applications to integral points on Siegel modular varieties
• Tubular approaches to Baker's method for curves and varieties
• An effective proof of the hyperelliptic Shafarevich conjecture
• Linear forms in logarithms and integral points on higher-dimensional varieties
• The complete classification of fibres in pencils of curves of genus two
• Theta height and Faltings height
• Bad reduction of genus curves with CM jacobian varieties
• Extending Runge’s method for integral points
• Normal Forms for Kummer Surfaces
• Level structures on abelian varieties and Vojta’s conjecture
• On the Graded Ring of Theta-Constants

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