Transcendence and CM on Borcea–Voisin towers of Calabi–Yau manifolds
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© 2015. Text: This paper is a sequel to , in which we showed the validity of a special case of a conjecture of Green, Griffiths and Kerr  for certain families of Calabi-Yau manifolds over Hermitian symmetric domains. Our results are analogues of a celebrated theorem of Th. Schneider  on the transcendence of values of the elliptic modular function, and its generalization to the context of abelian varieties in [5,29]. In the present paper, we apply related techniques to examples of families of Calabi-Yau varieties from the work of Rohde , and in particular to Borcea-Voisin towers. Our results fit into the broader context of transcendence theory for variations of Hodge structure of higher weight. Video: For a video summary of this paper, please visit http://youtu.be/9ZGYejBStJk.
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