التفاصيل البيبلوغرافية
| العنوان: |
Conic-connected manifolds. |
| المؤلفون: |
Ionescu, Paltin, Russo, Francesco |
| المصدر: |
Journal für die Reine und Angewandte Mathematik; Jul2010, Vol. 2010 Issue 644, p145-157, 13p |
| مصطلحات موضوعية: |
MANIFOLDS (Mathematics), SET theory, CURVES, CONES (Operator theory), MATHEMATICAL analysis, MATHEMATICS |
| مستخلص: |
We study a particular class of rationally connected manifolds, , 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 ≦ 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 classification result uses a general characterization of rationality, in terms of suitable covering families of rational curves. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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