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Some Siegel Threefolds with a Calabi-Yau Model II
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  • Journal title : Kyungpook mathematical journal
  • Volume 53, Issue 2,  2013, pp.149-174
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2013.53.2.149
 Title & Authors
Some Siegel Threefolds with a Calabi-Yau Model II
Freitag, Eberhard; Manni, Riccardo Salvati;
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In a previous paper, we described some Siegel modular threefolds which admit a Calabi-Yau model. Using a different method we give in this paper an enlarged list of such varieties. Basic for this method is a paper of van Geemen and Nygaard. They study a variety that is the complete intersection of four quadrics in . This is biholomorphic equivalent to the Satake compactification of for a certain subgroup and it will be the starting point of our investigation. It has been pointed out that a (projective) small resolution of this variety is a rigid Calabi-Yau manifold . Then we will consider the action of quotients of modular groups on and study possible resolutions that admits a Calabi-Yau model in the category of complex spaces.
Calabi-Yau;Siegel modular varieties;
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On isomorphisms between Siegel modular threefolds, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2016, 86, 1, 55  crossref(new windwow)
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