Integral points off hyperplanes in positive characteristic

DOI10.1016/j.jnt.2017.07.014zbMath1433.11081OpenAlexW2745828339MaRDI QIDQ1675603

Chia-Liang Sun, Julie Tzu-Yueh Wang

Publication date: 2 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.07.014

zbMATH Keywords

integral points

Mathematics Subject Classification ID

Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Heights (11G50) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Linear Diophantine equations (11D04)

Cites Work

• Unnamed Item
• Generalizations of Siegel's and Picard's theorems
• Wronskians and linear independence in fields of prime characteristic
• Integral points of projective spaces omitting hyperplanes over function fields of positive characteristic
• The equation \(ax+by=1\) in characteristic \(p\)
• \(ABC\) estimate, integral points, and geometry of \({\mathbb{P}}^n\) minus hyperplanes
• Mixing and linear equations over groups in positive characteristic
• The truncated second main theorem of function fields
• Linear equations over multiplicative groups, recurrences, and mixing I
• Local–Global Principle of Affine Varieties Over a Subgroup of Units in a Function Field
• Vanishing sums in function fields
• 𝑆-integral points of ℙⁿ-{2𝕟+1 hyperplanes in general position over number fields and function fields}

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