Pencils of double coverings of curves

Details Pencils of double coverings of curves Pencils of double coverings of curves

2007-01-17

arxiv.org/abs/math/0701472v1

Mathematics

Algebraic Geometry

Scientific paper

Let X be a smooth curve of genus g. When pi>=3g and d>=pi-2g+1 we show the
existence of a double covering gamma:C-->X where C a smooth curve of genus pi
with a base-point-free pencil of degree d which is not the pull-back of a
pencil on X.

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