Rigidification of holomorphic germs with noninvertible differential

DOI10.1307/mmj/1331222853zbMath1300.32018arXiv0911.4023OpenAlexW2005379231MaRDI QIDQ1940079

Matteo Ruggiero

Publication date: 5 March 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4023

zbMATH Keywords

rigidificationvaluative treenoninvertible holomorphic germs

Mathematics Subject Classification ID

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

Related Items (8)

Classification of one-dimensional superattracting germs in positive characteristic ⋮ Birational properties of tangent to the identity germs without non‐degenerate singular directions ⋮ On formal normal forms of holomorphic germs at super-saddle fixed points ⋮ Contracting rigid germs in higher dimensions ⋮ Local dynamics of non-invertible maps near normal surface singularities ⋮ Superstable manifolds of invariant circles and codimension-one Böttcher functions ⋮ Böttcher coordinates at superattracting fixed points of holomorphic skew products ⋮ Fiber Julia sets of polynomial skew products with super-saddle fixed points

Cites Work

• Classification of 2-dimensional contracting rigid germs and Kato surfaces. I
• The residual index and the dynamics of holomorphic maps tangent to the identity
• The valuative tree
• Eigenvaluations
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Dynamics in One Complex Variable. (AM-160)
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