Affine plane curves with one place at infinity

DOI10.5802/aif.1678zbMath0921.14017OpenAlexW1997271934MaRDI QIDQ1288642

Masakazu Suzuki

Publication date: 16 May 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_2_375_0

zbMATH Keywords

plane curvesapproximate rootsone place at infinitysemigroup criterion

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Embeddings in algebraic geometry (14E25) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (8)

Pell surfaces ⋮ Normal Analytic Compactifications of $$\mathbb{C}^{2}$$ ⋮ Algorithms for curves with one place at infinity ⋮ Evaluation codes defined by finite families of plane valuations at infinity ⋮ Plane curves with minimal discriminant ⋮ Poincaré series of divisorial filtration corresponding to a curve with one place at infinity ⋮ Curves having one place at infinity and linear systems on rational surfaces ⋮ Complex algebraic plane curves via Poincaré-Hopf formula. II: Annuli

Cites Work

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• Complex algebraic plane curves via their links at infinity
• Smooth plane curves with one place at infinity. -- Appendix by Yuji Nakazawa
• Geometry of plane curves via Tschirnhausen resolution tower
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• A topological characterisation of the affine plane as an algebraic variety
• Minimization of the embeddings of the curves into the affine plane
• FINITE GROUPS OF POLYNOMIAL AUTOMORPHISMS IN THE COMPLEX AFFINE PLANE (I)
• Compactifications of 𝐶²

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