Families of n-gonal curves with maximal variation of moduli

Details Families of n-gonal curves with maximal variation of moduli Families of n-gonal curves with maximal variation of moduli

2005-11-25

arxiv.org/abs/math/0511625v2

Matematiche (Catania) LXI (2006), 185-209

Mathematics

Algebraic Geometry

16 pages. Some modifications on the third section. References added

Scientific paper

We study families of n-gonal curves with maximal variation of moduli, which
have a rational section. Certain numerical results on the degree of the modular
map are obtained for such families of hyperelliptic and trigonal curves. In the
last case we use the description of the relative Picard group of the universal
family of trigonal curves.

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