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Algebraic Geometry Seminar
Seminar information archive ～03/25｜Next seminar｜Future seminars 03/26～
| Date, time & place | Tuesday 10:30 - 11:30 or 12:00 ハイブリッド開催/002Room #ハイブリッド開催/002 (Graduate School of Math. Sci. Bldg.) |
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2012/10/15
15:30-17:00 Room #122 (Graduate School of Math. Sci. Bldg.)
Yoshinori Gongyo (University of Tokyo)
On the moduli b-divisors of lc-trivial fibrations (JAPANESE)
Yoshinori Gongyo (University of Tokyo)
On the moduli b-divisors of lc-trivial fibrations (JAPANESE)
[ 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. Moreover I may explain some applications of canonical bundle formulas. These are joint works with Osamu Fujino.
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. Moreover I may explain some applications of canonical bundle formulas. These are joint works with Osamu Fujino.
