| After a general
introduction on factorility of algebraic varieties, I will concentrate
on hypersurfaces of the 4-dimensional projective space admitting only
isolated ordinary singularities (i.e. the projective tangent cone at a
singular point is always smooth). I will give sufficient conditions for
their factoriality and I will state a conjecture generalizing results on nodal hypersurfaces due to Ciliberto-Di Gennaro, Cheltsov and Kloosterman. This is a joint work with F.Polizzi and P.Sabatino. |