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.
2017
72
2
99
114
https://arxiv.org/abs/1705.10135
Filling families; Focal points; Monodromy; Projections; Uniform points
Cuzzucoli A.; Moschetti R.; Serizawa M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1795089
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