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

Abstract

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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.

How to cite

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Fujino, 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 -

References

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