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

Ph. Ellia·D. Franco
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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).

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Ph. Ellia, D. Franco. 1999-05-13. On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities. https://arxiv.org/abs/math/9905082

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