Alternating groups and rational functions on surfaces

Details Alternating groups and rational functions on surfaces Alternating groups and rational functions on surfaces

2004-01-11

arxiv.org/abs/math/0401107v2

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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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