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CM Periods, CM Regulators, and Hypergeometric Functions, I
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove the Gross–Deligne conjecture on CM periods for motives associated with ${{H}^{2}}$ of certain surfaces fibered over the projective line. Then we prove for the same motives a formula which expresses the ${{K}_{1}}$-regulators in terms of hypergeometric functions $_{3}{{F}_{2}}$, and obtain a new example of non-trivial regulators.
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- Copyright © Canadian Mathematical Society 2018
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