Let $V\subset \bold P^5$ be a reduced and irreducible threefold of degree $s$, complete intersection on a smooth hypersurface of degree $t$, with $s>t^2-t$. In this paper we prove that if the singular locus of $V$ consists of $\delta < 3s/8t$ ordinary double points, then any projective surface contained in $V$ is a complete intersection on $V$. In particular $V$ is ${\bold Q}$-factorial.
Ciliberto, C., DI GENNARO, V. (2004). Factoriality of certain threefolds complete intersection in ${bold P^5}$ with ordinary double points. COMMUNICATIONS IN ALGEBRA, 32, 2705-2710.
Factoriality of certain threefolds complete intersection in ${bold P^5}$ with ordinary double points.
CILIBERTO, CIRO;DI GENNARO, VINCENZO
2004-01-01
Abstract
Let $V\subset \bold P^5$ be a reduced and irreducible threefold of degree $s$, complete intersection on a smooth hypersurface of degree $t$, with $s>t^2-t$. In this paper we prove that if the singular locus of $V$ consists of $\delta < 3s/8t$ ordinary double points, then any projective surface contained in $V$ is a complete intersection on $V$. In particular $V$ is ${\bold Q}$-factorial.File in questo prodotto:
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