Moduli of algebraic varieties

Abstract

We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We define stable minimal models and construct their projective coarse moduli spaces under certain natural conditions. This can be applied to a wide range of moduli problems in algebraic geometry.

arXiv comment67 pages

Cited by in corpus (2)

• Moduli of $\mathbb{Q}$-Gorenstein pairs and applications
• Boundedness of stable minimal models with klt singularities