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Canonical models and stable reduction for plurifibered varieties

Dan Abramovich
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Abstract

A cheap method for constructing canonical models and complete moduli for complex projective varieties with a structure called "rational plurifibration" is given. A result about semistable reduction (whose nature is slightly different from alg-geom/9707012) is deduced. The method involves recursive application of moduli stacks of twisted stable maps (math.AG/9908167) and a systematic circumvention of any difficult MMP issues.

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Dan Abramovich. 2002-06-29. Canonical models and stable reduction for plurifibered varieties. https://arxiv.org/abs/math/0207004

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