On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities

Details On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities

1999-05-13

arxiv.org/abs/math/9905082v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that a smooth surface, non of general type, in projective
four-space, which lies on a quartic hypersurface with isolated singularities
has degree at most 27 (in fact we prove a slightly more general result).

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