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1 October 2004 Semistable degenerations and period spaces for polarized K3 surfaces
Martin C. Olsson
Duke Math. J. 125(1): 121-203 (1 October 2004). DOI: 10.1215/S0012-7094-04-12515-1

Abstract

Modular compactifications of moduli spaces for polarized K3 surfaces are constructed using the tools of logarithmic geometry in the sense of Fontaine and Illusie. The relationship between these new moduli spaces and the classical minimal and toroidal compactifications of period spaces is discussed, and it is explained how the techniques of this paper yield models for the latter spaces over number fields. The paper also contains a discussion of Picard functors for log schemes and a logarithmic version of Artin's method for proving representability by an algebraic stack.

Citation

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Martin C. Olsson. "Semistable degenerations and period spaces for polarized K3 surfaces." Duke Math. J. 125 (1) 121 - 203, 1 October 2004. https://doi.org/10.1215/S0012-7094-04-12515-1

Information

Published: 1 October 2004
First available in Project Euclid: 25 September 2004

zbMATH: 1073.14054
MathSciNet: MR2097359
Digital Object Identifier: 10.1215/S0012-7094-04-12515-1

Subjects:
Primary: 14J28
Secondary: 14G35 , 14J15

Rights: Copyright © 2004 Duke University Press

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Vol.125 • No. 1 • 1 October 2004
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