Papers › Periods of fibre products of elliptic surfaces and the Gamma conjecture
Periods of fibre products of elliptic surfaces and the Gamma conjecture
Eric Pichon-Pharabod
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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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