Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over Q

Autor:	Goto, Yasuhiro, Livne, Ron, Yui, Noriko
Rok vydání:	2012
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry 14J32 14J20
Druh dokumentu:	Working Paper
Popis:	We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the automorphy of the Galois representations associated to the Calabi-Yau threefolds. The moduli spaces of these Calabi-Yau threefolds are Shimura varieties. Our result shows the existence of a CM point in the moduli space. We also consider mirror symmetry of Calabi-Yau threefolds. Comment: 62 pages, further revisions made (mostly minor ones)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.3399 Zobrazit plný text záznamu View this record from Arxiv