Alternating groups and rational functions on surfaces

Sonia Brivio; Gian Pietro Pirola

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Alternating groups and rational functions on surfaces

Sonia Brivio·Gian Pietro Pirola

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Abstract

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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Sonia Brivio, Gian Pietro Pirola. 2005-04-19. Alternating groups and rational functions on surfaces. https://arxiv.org/abs/math/0401107

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