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arXiv 2004-01-11 0 views

Alternating groups and rational functions on surfaces

Brivio, Sonia · Pirola, Gian Pietro

Original · EN

Let X be a smooth complex projective surface. We prove that for any sufficiently big m there exists a rational dominant map f from X into a complex rational ruled surface Y, such that f is generically finite of degree m and has monodromy the alternating group Am.

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