Non-quasi-projective moduli spaces

János Kollár

doi:10.4007/annals.2006.164.1077

Non-quasi-projective moduli spaces

János Kollár

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.).

Original language	English (US)
Pages (from-to)	1077-1096
Number of pages	20
Journal	Annals of Mathematics
Volume	164
Issue number	3
DOIs	https://doi.org/10.4007/annals.2006.164.1077
State	Published - Nov 2006

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2006.164.1077

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abstract = "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.).",

author = "J{\'a}nos Koll{\'a}r",

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AB - 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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UR - https://www.scopus.com/pages/publications/33847679430#tab=citedBy

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DO - 10.4007/annals.2006.164.1077

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JO - Annals of Mathematics

JF - Annals of Mathematics

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Non-quasi-projective moduli spaces

Abstract

All Science Journal Classification (ASJC) codes

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