Plane curves with minimal discriminant

DOI10.1216/JCA-2018-10-4-559zbMath1409.14055arXiv1507.01091OpenAlexW2964295717WikidataQ128718063 ScholiaQ128718063MaRDI QIDQ1711552

Peng Zhang

Publication date: 18 January 2019

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

Full work available at URL: https://arxiv.org/abs/1507.01091

zbMATH Keywords

Newton polygondiscriminantgenusbivariate polynomialsalgebraic plane curveunicuspidal curveAbhyankar-Moh's embedding line theorem

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Class numbers, class groups, discriminants (11R29) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Singularities of curves, local rings (14H20) Solving polynomial systems; resultants (13P15)

Cites Work

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• The Newton polygon of a rational plane curve
• Newton polyhedra and the genus of complete intersections
• Affine plane curves with one place at infinity
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• The Coolidge-Nagata conjecture
• Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
• Introduction to Toric Varieties. (AM-131)
• $D$-resultant for rational functions
• Über ganze birationale Transformationen der Ebene.
• Equivalence of polynomials under automorphisms of \(\mathbb{C}^2\)

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