On the properness of the moduli space of stable surfaces

Details On the properness of the moduli space of stable surfaces On the properness of the moduli space of stable surfaces

2006-01-13

arxiv.org/abs/math/0601345v2

Mathematics

Algebraic Geometry

second version corrects errors and some typos

Scientific paper

The moduli spaces of stable surfaces serve as compactifications of the moduli spaces of canonical models of smooth surfaces in the same way the moduli spaces of stable curves compactify the moduli spaces of smooth curves. However, the natural definition of the moduli functor of stable surfaces allows in extra components parameterizing surfaces which do not smooth. This article verifies that these components are also proper.

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