## Kodai Mathematical Journal

### On the canonical bundle formula for abelian fiber spaces in positive characteristic

Masaya Yasuda

#### Abstract

Let X be a non-singular projective (n + 1)-fold defined over an algebraically closed field k of characteristic p ≥ 0, and B be a non-singular complete curve defined over k. A surjective morphism f : XB is said to be an n-abelian fiber space if almost all fibers are n-dimensional abelian varieties. We examine the canonical bundle formula for n-abelian fiber spaces.

#### Article information

Source
Kodai Math. J., Volume 34, Number 1 (2011), 55-70.

Dates
First available in Project Euclid: 31 March 2011

https://projecteuclid.org/euclid.kmj/1301576761

Digital Object Identifier
doi:10.2996/kmj/1301576761

Mathematical Reviews number (MathSciNet)
MR2786780

Zentralblatt MATH identifier
1230.14053

#### Citation

Yasuda, Masaya. On the canonical bundle formula for abelian fiber spaces in positive characteristic. Kodai Math. J. 34 (2011), no. 1, 55--70. doi:10.2996/kmj/1301576761. https://projecteuclid.org/euclid.kmj/1301576761