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;
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.