On the quadratic normality and the triple curve of three dimensional subvarieties of ${\mathbb P}^5$

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dc.creatorDe Poi, Pietro
dc.creatorMezzetti, Emilia
dc.creatorSierra, José Carlos
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:17:15Z
dc.date.available2026-07-07T10:17:15Z
dc.descriptionA well-known conjecture asserts that smooth threefolds $X\subset\{\mathbb P}^5$ are quadratically normal with the only exception of the Palatini scroll. As a corollary of a more general statement we obtain the following result, which is related to the previous conjecture: If $X\subset\{\mathbb P}^5$ is not quadratically normal, then its triple curve is reducible. Similar results are also given for higher dimensional varieties.
dc.descriptionTo appear in Advances in Geometry
dc.identifierhttps://arxiv.org/abs/0811.1515
dc.identifierhttp://arxiv.org/abs/0811.1515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173789
dc.subjectAlgebraic Geometry
dc.subject14M07; 14N05
dc.titleOn the quadratic normality and the triple curve of three dimensional subvarieties of ${\mathbb P}^5$
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