On Moduli of Algebraic Varieties. I.
Herbert Popp (1973)
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Herbert Popp (1973)
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R. Silhol (1992)
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R. Donagi (1987)
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Yung-sheng Tai (1982)
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Angelo Vistoli (1989)
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Georg Schumacher (1984)
Mathematische Annalen
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G. Schumacher, F. Campana (1990)
Mathematische Zeitschrift
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Shigeyuki Kondo (1988)
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Frans Oort (1974)
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Rizov, Jordan (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...
M. Seppäla, R. Silhol (1989)
Mathematische Zeitschrift
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Hiraku Nakajima (1990)
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