Goulwen Fichou, Johannes Huisman: A geometric description of the neutral component of the
Jacobian of a real plane curve having many pseudo-lines,
Math. Nachr. 254-255 (2003) 126-131
A pseudo-line of a real plane curve is a real branch
that is not homologically trivial in the real projective plane. A real plane curve
of degree d is said to have many pseudo-lines if it has
exactly d-2 pseudo-lines and if its genus is equal to d-2. We
present a planar description of the neutral component of the set of
real points of the Jacobian of such a curve. When the curve is defined
over Q, it gives rise to a planar description of a subgroup of
finite index of the Mordell-Weil group of the curve.
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Dernière modification: le 2 juin 2003