Embeddings of curves in the plane

DOI10.1006/jabr.1998.7811zbMath0964.14025arXivmath/9809049OpenAlexW1989829097MaRDI QIDQ1305020

Vladimir Shpilrain, Jie-Tai Yu

Publication date: 23 November 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809049

zbMATH Keywords

automorphismnumber of embeddingscanonical model of a given polynomialirreducible algebraic curvepeack reduction

Mathematics Subject Classification ID

Plane and space curves (14H50) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Special algebraic curves and curves of low genus (14H45) Embeddings in algebraic geometry (14E25) Singularities of curves, local rings (14H20)

Related Items

Birational morphisms of the plane ⋮ Equivalence of polynomials under automorphisms of \(K[x,y\)] ⋮ Algorithms for curves with one place at infinity ⋮ Coordinates and automorphisms of polynomial and free associative algebras of rank three. ⋮ TAME AUTOMORPHISMS FIXING A VARIABLE OF FREE ASSOCIATIVE ALGEBRAS OF RANK THREE ⋮ Fat point embeddings in affine space ⋮ Equivalence of polynomials under automorphisms of \(\mathbb{C}^2\) ⋮ Simple birational extensions of the polynomial algebra ℂ^{[3}] ⋮ The strong Nagata conjecture ⋮ Polynomial parametrization of curves without affine singularities ⋮ Non-extendable isomorphisms between affine varieties

Cites Work

• An inversion formula for two polynomials in two variables
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• On free products with amalgamation of two infinite cyclic groups
• Embeddings of Certain Curves in the Affine Plane
• Uniqueness of plane embeddings of special curves
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