Let V be a reduced and irreducible hypersurface of degree k ≧ 3. In this paper we prove that if the singular locus of V consists of δ2 ordinary double points, δ3 ordinary triple points and if δ2+4δ3<(k - 1)2, then any smooth surface contained in V is a complete intersection on V. © Birkhäuser Verlag, Basel, 2005.
Some remarks on factoriality of certain hypersurfaces in $\mathbb{P}^4 $
Sabatino, Pietro
2005
Abstract
Let V be a reduced and irreducible hypersurface of degree k ≧ 3. In this paper we prove that if the singular locus of V consists of δ2 ordinary double points, δ3 ordinary triple points and if δ2+4δ3<(k - 1)2, then any smooth surface contained in V is a complete intersection on V. © Birkhäuser Verlag, Basel, 2005.File in questo prodotto:
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