CM periods, CM regulators and hypergeometric functions, II
Number Theory
2016-03-15 v2 Algebraic Geometry
Abstract
We study periods and regulators of a certain class of fibrations of varieties whose relative has multiplication by a number field. Both are written in terms of values of hypergeometric functions and the former reduces to values of the gamma function, which provide examples of the conjecture of Gross-Deligne.
Keywords
Cite
@article{arxiv.1503.08894,
title = {CM periods, CM regulators and hypergeometric functions, II},
author = {Masanori Asakura and Noriyuki Otsubo},
journal= {arXiv preprint arXiv:1503.08894},
year = {2016}
}
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25 pages