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ar X iv : m at h / 07 01 88 5 v 1 [ m at h . A G ] 3 0 Ja n 20 07 CONIC - CONNECTED MANIFOLDS
We study a particular class of rationally connected manifolds, X ⊂ P , such that two general points x, x′ ∈ X may be joined by a conic contained in X. We prove that these manifolds are Fano, with b2 6 2. Moreover, a precise classification is obtained for b2 = 2. Complete intersections of high dimension with respect to their multi-degree provide examples for the case b2 = 1. The proof of the cla...
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We study a particular class of rationally connected manifolds, X ⊂ P , such that two general points x, x′ ∈ X may be joined by a conic contained in X. We prove that these manifolds are Fano, with b2 6 2. Moreover, a precise classification is obtained for b2 = 2. Complete intersections of high dimension with respect to their multi-degree provide examples for the case b2 = 1. The proof of the cla...
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We study a particular class of rationally connected manifolds, X ⊂ P , such that two general points x, x′ ∈ X may be joined by a conic contained in X. We prove that these manifolds are Fano, with b2 6 2. Moreover, a precise classification is obtained for b2 = 2. Complete intersections of high dimension with respect to their multi-degree provide examples for the case b2 = 1. The proof of the cla...
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ژورنال
عنوان ژورنال: Webbia
سال: 1914
ISSN: 0083-7792,2169-4060
DOI: 10.1080/00837792.1914.10669574