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Fano manifolds with long extremal rays
| Content Provider | CiteSeerX |
|---|---|
| Author | Reatta, Marco Occhetta, Gianluca |
| Abstract | Abstract. Let X be a Fano manifold of pseudoindex iX whose Picard number is at least two and let R be an extremal ray of X with exceptional locus Exc(R). We prove an inequality which bounds the length of R in terms of iX and of the dimension of Exc(R) and we investigate the border cases. In particular we classify Fano manifolds X of pseudoindex iX obtained blowing up a smooth variety Y along a smooth subvariety T such that dim T < iX. 1. |
| File Format | |
| Journal | Asian J. Math |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Fano Manifold Long Extremal Ray Pseudoindex Ix Extremal Ray Smooth Subvariety Smooth Variety Exceptional Locus Exc Border Case Picard Number |
| Content Type | Text |
| Resource Type | Article |