### 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: X → B 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.

Original language | English |
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Pages (from-to) | 55-70 |

Number of pages | 16 |

Journal | Kodai Mathematical Journal |

Volume | 34 |

Issue number | 1 |

DOIs | |

Publication status | Published - Apr 6 2011 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

**On the canonical bundle formula for abelian fiber spaces in positive characteristic.** / Yasuda, Masaya.

Research output: Contribution to journal › Article

*Kodai Mathematical Journal*, vol. 34, no. 1, pp. 55-70. https://doi.org/10.2996/kmj/1301576761

}

TY - JOUR

T1 - On the canonical bundle formula for abelian fiber spaces in positive characteristic

AU - Yasuda, Masaya

PY - 2011/4/6

Y1 - 2011/4/6

N2 - 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: X → B 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.

AB - 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: X → B 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.

UR - http://www.scopus.com/inward/record.url?scp=79953267627&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953267627&partnerID=8YFLogxK

U2 - 10.2996/kmj/1301576761

DO - 10.2996/kmj/1301576761

M3 - Article

AN - SCOPUS:79953267627

VL - 34

SP - 55

EP - 70

JO - Kodai Mathematical Journal

JF - Kodai Mathematical Journal

SN - 0386-5991

IS - 1

ER -