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Corpus ID: 14703046

Transposition mirror symmetry construction and period integrals

@article{Tanab2005TranspositionMS,
title={Transposition mirror symmetry construction and period integrals},
author={S. Tanab{\'e}},
journal={arXiv: Algebraic Geometry},
year={2005}
}

In this note we study several conditions to be imposed on a mirror symmetry candidate to the generic multi-quasihomogeneous Calabi-Yau variety defined in the product of the quasihomogeneous projective spaces. We propose several properties for a Calabi-Yau complete intersection variety so that its period integrals can be expressed by means of quasihomogeneous weights of its mirror symmetry candidate as it has been suggested by Berglund, Candelas et altri. As a corollary, we see certain duality… CONTINUE READING