202 research outputs found
On -derivatives and biextensions of Calabi-Yau motives
We prove that certain differential operators of the form with
hypergeometric and are of Picard-Fuchs type. We give closed
hypergeometric expressions for minors of the biextension period matrices that
arise from certain rank 4 weight 3 Calabi-Yau motives presumed to be of
analytic rank 1. We compare their values numerically to the first derivative of
the -functions of the respective motives at
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