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.

Alternating groups and rational functions on surfaces

BRIVIO, SONIA;PIROLA, GIAN PIETRO
2006-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/132232
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