On a class of rational cuspidal plane curves.

Hubert Flenner; Mikhail Zaidenberg

Displaying similar documents to “On a class of rational cuspidal plane curves.”

Appendix to "Plücker conditions on plane rational curves": Families of rational plane curves.

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Fundamental group of a class of rational cuspidal curves.

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In certain cases the invertibility of a polynomial map F = (P,Q): ℂ²→ ℂ² can be characterized by the irreducibility and the rationality of the curves aP+bQ = 0, (a:b) ∈ ℙ¹.

Trivial points on towers of curves

Xavier Xarles (2013)

Journal de Théorie des Nombres de Bordeaux

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In order to study the behavior of the points in a tower of curves, we introduce and study trivial points on towers of curves, and we discuss their finiteness over number fields. We relate the problem of proving that the only rational points are the trivial ones at some level of the tower, to the unboundeness of the gonality of the curves in the tower, which we show under some hypothesis.