Non-quasi-projective moduli spaces

• Autores: János Kollár
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 164, Nº 3, 2006, págs. 1077-1096
• Idioma: inglés
• DOI: 10.4007/annals.2006.164.1077
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• Resumen

  • 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.).