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arxiv: 1111.6456 · v3 · pith:FUDHY5BEnew · submitted 2011-11-28 · 🧮 math.AG · math.CO

Enumerative geometry of the curves defined by y^(d)=f(x)

classification 🧮 math.AG math.CO
keywords coveringscurvesdefinedalgebraicarbitrarybranchedcharacteristiccombinatorial
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We study plane algebraic curves defined over a field k of arbitrary characteristic as coverings of the the projective line and the problem of enumerating branched coverings of $\mathbb{P}^{1}$ by using combinatorial methods.

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