Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

On curves with one place at infinity

Abstract : Let $f$ be a plane curve. We give a procedure based on Abhyankar's approximate roots to detect if it has a single place at infinity, and if so construct its associated $\delta$-sequence, and consequently its value semigroup. Also for fixed genus (equivalently Frobenius number) we construct all $\delta$-sequences generating numerical semigroups with this given genus. For a $\delta$-sequence we present a procedure to construct all curves having this associated sequence. We also study the embeddings of such curves in the plane. In particular, we prove that polynomial curves might not have a unique embedding.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [12 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01016473
Contributor : Abdallah Assi Connect in order to contact the contributor
Submitted on : Wednesday, July 2, 2014 - 8:41:45 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:53 AM
Long-term archiving on: : Thursday, October 2, 2014 - 10:37:04 AM

File

Semigroup_of_Values.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01016473, version 1

Collections

Citation

Abdallah Assi, Pedro A. García-Sánchez. On curves with one place at infinity. 2014. ⟨hal-01016473⟩

Share

Metrics

Record views

180

Files downloads

89