Abstract
AbstractLet X be an irreducible, reduced complex projective hypersurface of degree d. A uniform point for X is a point P such that the projection of X from P has maximal monodromy. We extend and improve some results concerning the finiteness of the locus of non-uniform points for projections of hypersurfaces obtained by the authors and Cuzzucoli (Ann. Mat. Pura ed Appl. 1923, 1–18 (2021)) only for P not contained in X.
Publisher
Springer Science and Business Media LLC
Reference21 articles.
1. Ådlandsvik, B.: Joins and higher secant varieties. Math. Scand. 61, 213–222 (1987)
2. Alzati, A., Ballico, E., Ottaviani, G.: The theorem of Mather on generic projections for singular varieties. Geom. Dedicata 85, 113–117 (2001)
3. Cifani M.G.: Monodromy of general hypersurfaces, preprint arXiv:2007.09958, (2020)
4. Cifani, M.G., Cuzzucoli, A., Moschetti, R.: Monodromy of projections of hypersurfaces. Ann. Mat. Pura ed Appl. 1923, 1–18 (2021)
5. Ciliberto, C., Flamini, F.: On the branch curve of a general projection of a surface to a plane. Trans. Amer. Math. Soc. 363, 3457–3471 (2011)