Appendix to "Plücker conditions on plane rational curves": Families of rational plane curves.
Stein Arild Stromme (1984)
Mathematica Scandinavica
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Stein Arild Stromme (1984)
Mathematica Scandinavica
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Stein Arild Stromme (1984)
Mathematica Scandinavica
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Hubert Flenner, Mikhail Zaidenberg (1996)
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G. Ellingsrud, Stein Arild Stromme (1995)
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Dimitrios Poulakis (2003)
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Fenske, Torsten (1999)
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Per Sjöln (1977)
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Xavier Xarles (2013)
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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.
H. Alexander (1979)
Mathematica Scandinavica
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ERNST S. SELMER (1954)
Mathematica Scandinavica
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Carvalho, Cícero F. (1999)
International Journal of Mathematics and Mathematical Sciences
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Silvio Greco, Grazia Raciti (1991)
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Nguyen Van Chau (2011)
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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.
John MILNOR (1953)
Mathematica Scandinavica
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