Canonical models and stable reduction for plurifibered varieties
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0207004,
title = {Canonical models and stable reduction for plurifibered varieties},
author = {Dan Abramovich},
journal= {arXiv preprint arXiv:math/0207004},
year = {2007}
}
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8 pages