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VOL. 66 | 2015 Some geometric-arithmetic aspects of separated variable curves

Abstract

The paper shows certain geometric-arithmetic aspects with some new observations in consideration of variables separated curves, e.g. relationships with generalized Chebyshev polynomials, Chebyshev pencils, local variant at infinity of Stothers–Mason $abc$-theorem, Stothers–Langevin pairs, Pell–Abel conics (or polynomial Pell equations), Belyi maps, etc. Several case studies and open problems are discussed.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.11076
MathSciNet: MR3382049

Digital Object Identifier: 10.2969/aspm/06610161

Subjects:
Primary: 11G30, 14H10

Rights: Copyright © 2015 Mathematical Society of Japan

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