Local dynamics of intersections: V. I. Arnold's theorem revisited

DOI10.1007/s11856-014-1065-4zbMath1303.32012arXiv1303.0472OpenAlexW2049804430MaRDI QIDQ466106

Anna Leah Seigal, Sergey Yu. Yakovenko

Publication date: 24 October 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0472

zbMATH Keywords

germs of analytic subvarietiesintersection multiplicity, iteration

Mathematics Subject Classification ID

Analytic subsets and submanifolds (32C25) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items

Finite dimensional groups of local diffeomorphisms, The dynamical Manin-Mumford problem for plane polynomial automorphisms, BOUNDNESS OF INTERSECTION NUMBERS FOR ACTIONS BY TWO-DIMENSIONAL BIHOLOMORPHISMS, Finiteness properties of formal Lie group actions, Recurrent orbits of subgroups of local complex analytic diffeomorphisms

Cites Work

• On the growth of local intersection multiplicities in holomorphic dynamics: a conjecture of Arnold
• A remark on the Lefschetz fixed point formula for differentiable maps
• Intersection multiplicities of noetherian functions
• Dynamics of complexity of intersections
• Introduction to Lie Algebras and Representation Theory
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