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Sep 21, 2011 at 13:44 comment added Mohammad Farajzadeh-Tehrani @jlk: It is a pull back of some rational divisor from base. see Griffiths-Harris.
Sep 21, 2011 at 0:47 comment added jlk @Mohammad F.Tehrani: What's the formula for the canonical bundle in the case of elliptic fibrations
Sep 20, 2011 at 17:00 comment added user5117 Koll\'ar wrote a chapter on canonical bundle formulas for fibrations of relative Kodaira dimension 0 in the book "Flips for 3-folds and 4-folds". It's quite technical, but maybe the results simplify in the case you're interested in...
Sep 20, 2011 at 15:51 history asked Mohammad Farajzadeh-Tehrani CC BY-SA 3.0