We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.
Fano manifolds and blow-ups of low-dimensional subvarieties / E., Chierici; Occhetta, Gianluca. - In: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. - ISSN 0304-9914. - STAMPA. - 2010, 47:1(2010), pp. 189-213. [10.4134/JKMS.2010.47.1.189]
Fano manifolds and blow-ups of low-dimensional subvarieties
Occhetta, Gianluca
2010-01-01
Abstract
We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.File in questo prodotto:
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