1 results
On L-derivatives and biextensions of Calabi–Yau motives
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- Journal:
- Experimental Results / Volume 4 / 2023
- Published online by Cambridge University Press:
- 28 July 2023, e16
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- Article
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We prove that certain differential operators of the form
$ DLD $ with 
$ L $ hypergeometric and 
$ D=z\frac{\partial }{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 $.
