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Some Remarks on the Minimal Model Program for Log Canonical Pairs
Fujino, Osamu
92386
415
Extremal contractions
Fano contractions
lc-trivial fibrations
canonical bundle formulas
log canonical singularities
compact Kähler manifolds
non-Kähler manifolds
We prove that the target space of an extremal Fano contraction from a log canonical pair has only log canonical singularities. We also treat some related topics, for example, the finite generation of canonical rings for compact Kähler manifolds, and so on. The main ingredient of this paper is the nefness of the moduli parts of lc-trivial fibrations. We also give some observations on the semi-ampleness of the moduli parts of lc-trivial fibrations. For the reader’s convenience, we discuss some examples of non-Kähler manifolds, flopping contractions, and so on, in order to clarify our results.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2015-02-27
application/pdf
Journal of mathematical sciences, the University of Tokyo
1
22
149
192
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/39971/files/jms220105.pdf
eng