2 research outputs found
Non Uniform Projections of Surfaces in
Consider the projection of a smooth irreducible surface in
from a point. The uniform position principle implies that the monodromy group
of such a projection from a general point in 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 prove that the locus of
non-uniform points of is at most finite.Comment: 11 pages, no figures. This paper is a result of the work carried out
at PRAGMATIC 2016 Research School. Minor changes and journal references adde
Non uniform projections of surfaces in
Consider the projection of a smooth irreducible surface in from a point.The uniform position principle implies that the monodromy group of such a projection from a general point in 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 non-uniform points of is at most finite