Non--quasi--projective moduli spaces

Details Non--quasi--projective moduli spaces Non--quasi--projective moduli spaces

2005-01-19

arxiv.org/abs/math/0501294v2

Ann. of Math. (2) 164 (2006), no. 3, 1077-1096

Mathematics

Algebraic Geometry

20 pages, published version

Scientific paper

We show that every smooth toric variety (and many other algebraic spaces as
well) can be realized as a moduli space for smooth, projective, polarized
varieties. Some of these are not quasi--projective. This contradicts a recent
paper (Quasi--projectivity of moduli spaces of polarized varieties, Ann. of
Math. 159 (2004) 597--639.).

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