Some birational maps of Fano 3-folds
Kiyohiko Takeuchi (1989)
Compositio Mathematica
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Kiyohiko Takeuchi (1989)
Compositio Mathematica
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Hironobu Maeda (1986)
Compositio Mathematica
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A. Conte, J. P. Murre (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Cinzia Casagrande (2004)
Bollettino dell'Unione Matematica Italiana
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This is the text of a talk given at the XVII Convegno dellUnione Matematica Italiana held at Milano, September 8-13, 2003. I would like to thank Angelo Lopez and Ciro Ciliberto for the kind invitation to the conference. I survey some numerical conjectures and theorems concerning relations between the index, the pseudo-index and the Picard number of a Fano variety. The results I refer to are contained in the paper [3], wrote in collaboration with Bonavero, Debarre and Druel. ...
Del Centina, A., Gimigliano, A. (2001)
Advances in Geometry
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Marc Levine (1984)
Compositio Mathematica
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Joseph Cutrone, Nicholas Marshburn (2013)
Open Mathematics
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In this paper, examples of type II Sarkisov links between smooth complex projective Fano threefolds with Picard number one are provided. To show examples of these links, we study smooth weak Fano threefolds X with Picard number two and with a divisorial extremal ray. We assume that the pluri-anticanonical morphism of X contracts only a finite number of curves. The numerical classification of these particular smooth weak Fano threefolds is completed and the geometric existence of some...