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On the stable reduction of pencils of curves. (English) Zbl 0662.14013
Let f:S$$\to C$$ be a one-dimensional family of complex projective curves of genus $$g\geq 2$$. There is a base extension of degree $$N_ g$$ such that the pull-back family has semi-stable reduction, where $N_ g=\prod_{p=prime,p\leq 2g+1}p^{\ell_ p},$ where $$\ell_ p$$ is the largest integer such that $$2g\geq p^{\ell_ p}-p^{\ell_ p-1}$$.
Reviewer: G.Xiao

##### MSC:
 14H10 Families, moduli of curves (algebraic)
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##### References:
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