Towards the classification of weak Fano threefolds with ρ = 2

Joseph Cutrone ; Nicholas Marshburn

Open Mathematics, Tome 11 (2013), p. 1552-1576 / Harvested from The Polish Digital Mathematics Library

Résumé

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 numerical cases is proven.

Détail

Publié le : 2013-01-01

Zbl 1308.14013

EUDML-ID : urn:eudml:doc:269795

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