A geometrical approach to the Jacobian conjecture for \(n=2\)

DOI10.2996/kmj/1138040028zbMath1128.14301OpenAlexW1989379706WikidataQ123241461 ScholiaQ123241461MaRDI QIDQ1345361

Claude Weber, Lê Dũng Tráng

Publication date: 2 March 1995

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

Full work available at URL: https://doi.org/10.2996/kmj/1138040028

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Rational and birational maps (14E05)

Related Items (17)

Dicriticals of pencils and Dedekind's Gauss lemma ⋮ Resolution at infinity and affine polar curves ⋮ Existence of dicritical divisors revisited ⋮ Jacobian quotients of polynomial mappings. ⋮ On the singularities at infinity of plane algebraic curves. ⋮ Rees valuations ⋮ Dicritical divisors after S.S. Abhyankar and I. Luengo ⋮ Simple rational polynomials and the Jacobian conjecture ⋮ Singularities at infinity and their vanishing cycles. II: Monodromy ⋮ Dicritical divisors and Jacobian problem ⋮ Analytic theory of curvettes and dicriticals ⋮ On topological approaches to the Jacobian conjecture in ℂⁿ ⋮ Residue formulas for meromorphic functions on surfaces ⋮ On global invertibility of semi-algebraic local diffeomorphisms ⋮ Gauss-Manin connection of hyperelliptic polynomials ⋮ Sur le système local de Gauss-Manin d'un polynôme de deux variables ⋮ Topological equivalence of complex polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur la topologie des polynômes complexes. (Topology of complex polynomials)
• Milnor numbers and the topology of polynomial hypersurfaces
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• ON THREE-SHEETED POLYNOMIAL MAPPINGS OF ${\mathbf C}^2$
• On Analytic Irreducibility at ∞ of a Pencil of Curves
• CERTAIN EXAMPLES IN CONNECTION WITH PROBLEMS ABOUT POLYNOMIAL TRANSFORMATIONS OFCⁿ

This page was built for publication: A geometrical approach to the Jacobian conjecture for \(n=2\)