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On the properness of the moduli space of stable surfaces

Authors
  • van Opstall, Michael A.
Type
Preprint
Publication Date
Apr 17, 2006
Submission Date
Jan 13, 2006
Identifiers
arXiv ID: math/0601345
Source
arXiv
License
Unknown
External links

Abstract

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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