Regulators of K1 of Hypergeometric Fibrations

DOI10.1007/978-3-030-65203-6_1zbMath1476.14026arXiv1709.04144OpenAlexW2940820495MaRDI QIDQ5018386

Noriyuki Otsubo, Masanori Asakura

Publication date: 16 December 2021

Published in: Arithmetic L-Functions and Differential Geometric Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04144

zbMATH Keywords

hypergeometric functionsperiodsregulators

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Variation of Hodge structures (algebro-geometric aspects) (14D07) Generalized hypergeometric series, ({}_pF_q) (33C20) Complex multiplication and abelian varieties (14K22) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (2)

The bounds of the Mordell-Weil ranks in cyclotomic towers of function fields ⋮ Regulators of \(K_2\) of hypergeometric fibrations

Cites Work

• CM periods, CM regulators and hypergeometric functions. II
• A FUNCTIONAL LOGARITHMIC FORMULA FOR THE HYPERGEOMETRIC FUNCTION
• AN ALGEBRO-GEOMETRIC STUDY OF SPECIAL VALUES OF HYPERGEOMETRIC FUNCTIONS
• Mixed Hodge modules
• Arithmetic mixed sheaves
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