Minimal models and boundedness of stable varieties

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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.
12 pages

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Algebraic Geometry, 14J10, 14D22

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http://salesiana.dossiersoluciones.com/handle/123456789/76809

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9804049
 http://arxiv.org/abs/math/9804049

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arXiv