On the invariants of base changes of pencils of curves, II

Details On the invariants of base changes of pencils of curves, II On the invariants of base changes of pencils of curves, II

1994-11-08

arxiv.org/abs/alg-geom/9411003v1

Mathematics

Algebraic Geometry

21 pages, AmSTeX

Scientific paper

In this part of the series, we shall investigate Deligne-Mumford semistable reductions from the point of view of numerical invariants. As an application, we obtain two numerical criterions for a base change to be stabilizing, and for a fibration to be isotrivial. We also obtain a canonical class inequality for any fibration. Some other applications are presented. Most of the results of this paper have arithmetical analogues. This paper will appear in Math. Z.

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