# On the moduli b-divisors of lc-trivial fibrations

Osamu Fujino^{[1]}; Yoshinori Gongyo^{[2]}

- [1] Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
- [2] Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, 153-8914 Japan. Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK

Annales de l’institut Fourier (2014)

- Volume: 64, Issue: 4, page 1721-1735
- ISSN: 0373-0956

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topFujino, Osamu, and Gongyo, Yoshinori. "On the moduli b-divisors of lc-trivial fibrations." Annales de l’institut Fourier 64.4 (2014): 1721-1735. <http://eudml.org/doc/275511>.

@article{Fujino2014,

abstract = {Roughly speaking, by using the semi-stable minimal model program, we prove that the moduli part of an lc-trivial fibration coincides with that of a klt-trivial fibration induced by adjunction after taking a suitable generically finite cover. As an application, we obtain that the moduli part of an lc-trivial fibration is b-nef and abundant by Ambro’s result on klt-trivial fibrations.},

affiliation = {Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan; Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, 153-8914 Japan. Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK},

author = {Fujino, Osamu, Gongyo, Yoshinori},

journal = {Annales de l’institut Fourier},

keywords = {semi-stable minimal model program; canonical bundle formulae; lc-trivial fibrations; klt-trivial fibrations},

language = {eng},

number = {4},

pages = {1721-1735},

publisher = {Association des Annales de l’institut Fourier},

title = {On the moduli b-divisors of lc-trivial fibrations},

url = {http://eudml.org/doc/275511},

volume = {64},

year = {2014},

}

TY - JOUR

AU - Fujino, Osamu

AU - Gongyo, Yoshinori

TI - On the moduli b-divisors of lc-trivial fibrations

JO - Annales de l’institut Fourier

PY - 2014

PB - Association des Annales de l’institut Fourier

VL - 64

IS - 4

SP - 1721

EP - 1735

AB - Roughly speaking, by using the semi-stable minimal model program, we prove that the moduli part of an lc-trivial fibration coincides with that of a klt-trivial fibration induced by adjunction after taking a suitable generically finite cover. As an application, we obtain that the moduli part of an lc-trivial fibration is b-nef and abundant by Ambro’s result on klt-trivial fibrations.

LA - eng

KW - semi-stable minimal model program; canonical bundle formulae; lc-trivial fibrations; klt-trivial fibrations

UR - http://eudml.org/doc/275511

ER -

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