A few examples of elliptic threefolds with trivial canonical bundle

✍ Scribed by Dimitri Markushevich

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 822 KB
• Volume: 3
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/0926-2245(93)90025-v

✦ Synopsis

A few examples of simply connected complex projective threefolds with trivial canonical bundle (that is, Bogomolov-CaIabi-Yau manifolds) are constructed, which are elliptic fibrations over certain rational surfaces. They are obtained as embedded bundles of cubic curves in IF'r or their degenerations admitting a resolution of singularities with trivial canonical bundle. Two examples with the Euler characteristic zero and h" = 11 and 18 are obtained.