Geometry of plane curves via Tschirnhausen resolution tower
1996; Osaka University; Volume: 33; Issue: 4 Linguagem: Inglês
10.18910/12535
ISSN0030-6126
Autores Tópico(s)Polynomial and algebraic computation
ResumoWe show the existence of toric resolution tower for an irreducible curve singularity which is explicitly described by Tschirnhausen polynomials. We deduce for a smooth affine plane curve from its topology restrictions for its singularity at infinity. For instance, we discribe the singularities at infinity (up to equisingular deformation) for curves of genus 0,1 and 2. From this follows an extension of the Abhyankar-Moh-Suzuki theorem to genus 1 and 2.
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