On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities
Algebraic Geometry
2007-05-23 v1
Abstract
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).
Cite
@article{arxiv.math/9905082,
title = {On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities},
author = {Ph. Ellia and D. Franco},
journal= {arXiv preprint arXiv:math/9905082},
year = {2007}
}