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http://dx.doi.org/10.4134/JKMS.2010.47.1.189

FANO MANIFOLDS AND BLOW-UPS OF LOW-DIMENSIONAL SUBVARIETIES  

Chierici, Elena (Dipartimento di Matematica Universita di Trento)
Occhetta, Gianluca (Dipartimento di Matematica Universita di Trento)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.1, 2010 , pp. 189-213 More about this Journal
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.
Keywords
Fano manifolds; rational curves;
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