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.
A rigid Calabi-Yau three-fold
Filippini S. A.;
2011-01-01
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.File in questo prodotto:
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