Publication Date:
2012-11-11
Description:
We characterize smooth curves in P 3 whose blow-up produces a threefold with anticanonical divisor big and nef. These are curves C of degree d and genus g lying on a smooth quartic, such that (i) 4 d –30≤ g ≤14 or ( g , d )=(19, 12), (ii) there is no 5-secant line, 9-secant conic nor 13-secant twisted cubic to C . This generalizes the classical similar situation for the blow-up of points in P 2 . We describe then Sarkisov links constructed from these blow-ups, and are able to prove the existence of Sarkisov links which were previously only known as numerical possibilities.
Print ISSN:
0024-6115
Electronic ISSN:
1460-244X
Topics:
Mathematics
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