2023/08/21 by Golyshev, V.
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2308.10813
We prove that certain differential operators of the form DLD with L hypergeometric and D=z (d)/(dz) 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 L-functions of the respective motives at s=2.