Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks

DOI10.5802/aif.2350zbMath1137.37025OpenAlexW2324748232MaRDI QIDQ2482860

Masafumi Yoshino, Todor Gramchev

Publication date: 24 April 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_1_263_0

zbMATH Keywords

decompositionlinearizationDiophantine conditionsGevrey spaceshomological equation

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Normal forms for dynamical systems (37G05) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

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• Higher cohomology for Abelian groups of toral automorphisms
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• Total convergence or general divergence in small divisors.
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