On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line

DOI10.1007/s40315-019-00293-wzbMath1434.37027arXiv1902.04433OpenAlexW3102297590MaRDI QIDQ2297707

Valente Ramírez, Adolfo Guillot

Publication date: 20 February 2020

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04433

zbMATH Keywords

fixed pointprojective spacePainlevé testself-mapmultiplierKowalevski exponent

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Completely integrable discrete dynamical systems (37J70)

Related Items (4)

Moduli spaces for dynamical systems with portraits ⋮ Multipliers and invariants of endomorphisms of projective space in dimension greater than 1 ⋮ Quadratic differential equations in three variables without multivalued solutions. I ⋮ Multipliers-of-self-maps-on-P2

Uses Software

• Macaulay2
• SageMath
• GitHub

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