Abstract
The aim of this paper is to analyze some geometric properties of the rigid Calabi-Yau three-fold Z{stroke} obtainedby a quotient of E3, where E is a specific elliptic curve. We describe the cohomology of Z{stroke} and give a simple formula for the trilinear form on Pic(Z{stroke}). We describe some projective models of Z{stroke} 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. © 2011 International Press.
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CITATION STYLE
Filippini, S. A., & Garbagnati, A. (2011). A rigid calabi-yau three-fold. Advances in Theoretical and Mathematical Physics, 15(6), 1745–1788. https://doi.org/10.4310/atmp.2011.v15.n6.a4
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