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arXiv · 1503.08894

CM periods, CM regulators and hypergeometric functions, II

Masanori Asakura·Noriyuki Otsubo
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Abstract

We study periods and regulators of a certain class of fibrations of varieties whose relative $H^1$ has multiplication by a number field. Both are written in terms of values of hypergeometric functions ${}_3F_2$ and the former reduces to values of the gamma function, which provide examples of the conjecture of Gross-Deligne.

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Masanori Asakura, Noriyuki Otsubo. 2015-03-31. CM periods, CM regulators and hypergeometric functions, II. https://arxiv.org/abs/1503.08894

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