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arxiv: 1401.6544 · v1 · pith:53XKPUIVnew · submitted 2014-01-25 · 🧮 math.AG

Bifurcation locus and branches at infinity of a polynomial f : C2 -> c

classification 🧮 math.AG
keywords infinitybifurcationbranchesnumberpolynomialboundcasescertain
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We show that the number of bifurcation points at infinity of a polynomial function f : C2 -> C is at most the number of branches at infinity of a generic fiber of f and that this upper bound can be diminished by one in certain cases.

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