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On occult period
maps
Stephen Kudla and Michael Rapoport |
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Vol. 260 (2012), No. 2, 565–582
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Abstract |
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We interpret the “occult” period maps of Allcock, Carlson, and Toledo (2002; 2011), of Looijenga and Swierstra (2007; 2008), and of Kondō (2000; 2002) in moduli theoretic terms, as a construction of certain families of polarized abelian varieties of Picard type. We show that these period maps are morphisms defined over their natural field of definition. |
Keywords
Torelli theorems, period maps
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Mathematical Subject Classification 2010
Primary: 11G15, 14D20, 14K22
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Milestones
Received: 28 February 2012
Accepted: 27 September 2012
Published: 30 November 2012
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Authors |
| Stephen Kudla | |
| Department of Mathematics University of Toronto 40 St. George St., BA6290 Toronto, ON M5S 2E4 Canada |
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| Michael Rapoport | |
| Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn Germany |
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