Alternating groups and rational functions on surfaces

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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.
17 pages

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Algebraic Geometry, 14H30;12F05

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http://salesiana.dossiersoluciones.com/handle/123456789/69821

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401107
 http://arxiv.org/abs/math/0401107

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arXiv