Abstract
Abstract
In this paper we investigate singularities on toric fibrations. In this context we study a conjecture of Shokurov (a special case of which is due to M
Kernan which roughly says that if
is an
-lc Fano-type log Calabi-Yau fibration, then the singularities of the log base
are bounded in terms of
and
where
and
are the discriminant and moduli divisors of the canonical bundle formula. A corollary of our main result says that if
is a toric Fano fibration with
being
-lc, then the multiplicities of the fibres over codimension one points are bounded depending only on
and
.
Bibliography: 20 titles.
Funder
Royal Society
National Natural Science Foundation of China
Subject
Algebra and Number Theory
Cited by
1 articles.
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