Geodesic
Non-quasi-projective moduli spaces
János Kollár1
1Department of Mathematics, Princeton University, Princeton, NJ 08544, United States
Annals of mathematics, Tome 164 (2006) no. 3, pp. 1077-1096
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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.).

DOI : 10.4007/annals.2006.164.1077

János Kollár  1

1 Department of Mathematics, Princeton University, Princeton, NJ 08544, United States 
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János Kollár. Non-quasi-projective moduli spaces. Annals of mathematics, Tome 164 (2006) no. 3, pp. 1077-1096. doi: 10.4007/annals.2006.164.1077

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