Birationality of étale maps via surgery

DOI10.1515/CRELLE.2009.012zbMath1161.14042arXiv0705.0524OpenAlexW1486182974MaRDI QIDQ3612189

Frederico Xavier, Scott Nollet, Laurence R. Taylor

Publication date: 3 March 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0524

zbMATH Keywords

manifoldsurgeryJacobian problembirational mapsétale maps

Mathematics Subject Classification ID

Jacobian problem (14R15) Rational and birational maps (14E05)

Related Items (4)

Dynamics, points and places at infinity, and the inversion of polynomial self-maps of \(\mathbb{R}^2\) ⋮ Non-positive curvature and global invertibility of maps ⋮ Finiteness of prescribed fibers of local biholomorphisms: a geometric approach ⋮ A note on the Jacobian Conjecture

Cites Work

• Stratifications de Whitney et théorème de Bertini-Sard
• Holomorphic injectivity and the Hopf map.
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse

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