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, ...

Rational curves with one place at infinity

Abstract : Let K be an algebraically closed field of characteristic zero. Given a polynomial f(x,y) in K[x,y] with one place at infinity, we prove that either f is equivalent to a coordinate, or the family (f+c) has at most two rational elements. When (f+c) has two rational elements, we give a description of the singularities of these elements.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00712409
Contributor : Abdallah Assi Connect in order to contact the contributor
Submitted on : Monday, October 21, 2013 - 3:31:17 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:52 AM
Long-term archiving on: : Friday, April 7, 2017 - 2:14:06 PM

Files

rationaloneplacenewversion.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00712409, version 2
  • ARXIV : 1206.6189

Collections

Citation

Abdallah Assi. Rational curves with one place at infinity. 2012. ⟨hal-00712409v2⟩

Share

Metrics

Record views

89

Files downloads

224