Transposition mirror symmetry construction and period integrals
Abstract
In this note we study several conditions to be imposed on a mirror symmetry candidate to the generic multiquasihomogeneous CalabiYau variety defined in the product of the quasihomogeneous projective spaces. We propose several properties for a CalabiYau 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 between the monodromy data and the Poincaré polynomials of the Euler characteristic for the pairs of our varieties.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2005
 arXiv:
 arXiv:math/0506354
 Bibcode:
 2005math......6354T
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Classical Analysis and ODEs
 EPrint:
 20pages, a new chapter on the nefpartition is added