Points in projective spaces and applications

Details Points in projective spaces and applications Points in projective spaces and applications

2005-11-23

arxiv.org/abs/math/0511578v8

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We prove the factoriality of a nodal hypersurface in $\mathbb{P}^{4}$ of
degree $d$ that has at most $2(d-1)^{2}/3$ singular points, and factoriality of
a double cover of $\mathbb{P}^{3}$ branched over a nodal surface of degree $2r$
having less than $(2r-1)r$ singular points.

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