On four-sheeted polynomial mappings of \(\mathbb{C}^2\). I: The case of an irreducible ramification curve

DOI10.1007/BF02313031zbMath0955.14044MaRDI QIDQ1966273

A. V. Domrina, Stepan Yu. Orevkov

Publication date: 27 February 2001

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

zbMATH Keywords

Jacobian conjecturepolynomial mappingdegree of a mappingramified covering

Mathematics Subject Classification ID

Jacobian problem (14R15) Coverings in algebraic geometry (14E20) Ramification problems in algebraic geometry (14E22)

Related Items (6)

Frameworks for two-dimensional Keller maps ⋮ On the homology of a ramified covering over \(\mathbb{C}^2\) ⋮ On two invariants of divisorial valuations at infinity ⋮ On the Stein factorization of resolutions of two-dimensional Keller maps ⋮ On the Newton polyhedron of a Jacobian pair ⋮ A restriction on the combinatorial structure of counterexamples to the Jacobian conjecture at infinity

Cites Work

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• Complex algebraic plane curves via their links at infinity
• Acyclic algebraic surfaces bounded by Seifert spheres
• Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• On bilinear forms represented by trees
• On the Jacobian conjecture

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