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Minimal models and boundedness of stable varieties

Kalle Karu
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Abstract

We consider a class of stable smoothable n-dimensional varieties, the analogs of stable curves. Assuming the minimal model program in dimension n+1, we prove that this class is bounded. From Kollar's method of constructing projective moduli spaces we get as a corollary that minimal model program in dimension n+1 implies the existence of a projective coarse moduli space for stable smoothable n-folds.

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Kalle Karu. 1998-04-08. Minimal models and boundedness of stable varieties. https://arxiv.org/abs/math/9804049

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