On the field of definition of a cubic rational function and its critical points

DOI10.1016/j.jnt.2016.02.011zbMath1432.58033arXiv1601.04938OpenAlexW2319237686MaRDI QIDQ290009

Xander Faber, Bianca Thompson

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1601.04938

zbMATH Keywords

critical pointsB. and M. Shapiro conjecturecubic rational functionsfield of definition

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Meromorphic functions of one complex variable (general theory) (30D30) Critical points of functions and mappings on manifolds (58K05) Rationality questions in algebraic geometry (14E08)

Related Items

Corrigendum to: ``On the field of definition of a cubic rational function and its critical points.

Cites Work

• Catalan numbers and branched coverings by the Riemann sphere
• Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
• An Elementary Proof of the B. and M. Shapiro Conjecture for Rational Functions