Higher secant varieties of Segre-Veronese varieties

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dc.creatorCatalisano, M. V.
dc.creatorGeramita, A. V.
dc.creatorGimigliano, A.
dc.date2003-09-24
dc.date.accessioned2026-07-07T05:01:24Z
dc.date.available2026-07-07T05:01:24Z
dc.descriptionWe study the dimension of the higher secant varieties $X^s$ of ${\Bbb X} = {\Bbb P}^{n_1}\times ...\times {\Bbb P}^{n_t}$ embedded the morphism given by ${\cal O}_{\Bbb X}({a_1,...,a_t})$. We call it a {\it Segre-Veronese variety} and the embedding a {\it Segre-Veronese embedding}. In several cases (e.g. for 3 factors {\Bbb P}^{1}, or when $s$ is small) we show that $X^s$ has the expected dimension except for a few cases. A list of examples of defective $X^s$'s is given.
dc.description12 pages, plain TEX
dc.identifierhttps://arxiv.org/abs/math/0309399
dc.identifierhttp://arxiv.org/abs/math/0309399
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68660
dc.subjectAlgebraic Geometry
dc.subject14N15; 15A69
dc.titleHigher secant varieties of Segre-Veronese varieties
dc.typetext

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