Consider the projection of a smooth irreducible surface in 3 from a point. The uniform position principle implies that the monodromy group of such a projection from a general point in 3 is the whole symmetric group. We will call such points uniform. Inspired by a result of Pirola and Schlesinger for the case of curves, we proved that the locus of nonuniform points of 3 is at most finite.
Non uniform projections of surfaces in P^3
Moschetti R.;
2017-01-01
Abstract
Consider the projection of a smooth irreducible surface in 3 from a point. The uniform position principle implies that the monodromy group of such a projection from a general point in 3 is the whole symmetric group. We will call such points uniform. Inspired by a result of Pirola and Schlesinger for the case of curves, we proved that the locus of nonuniform points of 3 is at most finite.
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