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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Priska Jahnke, Thomas Peternell, Ivo Radloff (2011)
Open Mathematics
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In a follow-up to our paper [Threefolds with big and nef anticanonical bundles I, Math. Ann., 2005, 333(3), 569–631], we classify smooth complex projective threefolds Xwith −K X big and nef but not ample, Picard number γ(X) = 2, and whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop X + are not both birational.
Del Centina, A., Gimigliano, A. (2001)
Advances in Geometry
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Ciro Ciliberto, Rita Pardini, Francesca Tovena (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marc Coppens, Gerriet Martens (1991)
Compositio Mathematica
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Ballico, E., Cossidente, A. (1997)
Mathematica Pannonica
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Emilia Mezzetti, Dario Portelli (1998)
Collectanea Mathematica
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Robin Hartshorne (2002)
Collectanea Mathematica
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Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions...