Periods of fibre products of elliptic surfaces and the Gamma conjecture
Abstract
We provide an algorithm for computing a basis of homology of fibre products of elliptic surfaces over P1, along with the corresponding intersection product and period matrices. We use this data to investigate the Gamma conjecture for Calabi-Yau threefolds obtained in this manner. We find a formula that works for all operators of a list of 105 fibre products, as well as for fourth order operators of the Calabi-Yau database. This algorithm comes with a SageMath implementation.
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