摘要
The aim of this paper is to analyze some geometric properties of the rigid Calabi-Yau three-fold Z obtained by a quotient of E-3, where E is a specific elliptic curve. We describe the cohomology of Z and give a simple formula for the trilinear form on Pic(Z). We describe some projective models of Z and relate these to its generalized mirror. A smoothing of a singular model is a Calabi-Yau three-fold with small Hodge numbers which was not known before.
- 出版日期2011-12