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arXiv:1206.6189 [math.AG]AbstractReferencesReviewsResources

Rational curves with one place at infinity

Abdallah Assi

Published 2012-06-27, updated 2013-10-21Version 2

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.

Comments: Accepted for publication in the Proceedings of Trento conference on Groups of Automorphisms in Birational and Affine Geometry
Categories: math.AG
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