Regulators of K_1 of Hypergeometric Fibrations
Masanori Asakura, Noriyuki Otsubo
TL;DR
This paper investigates hypergeometric fibrations, focusing on their deformation, and describes their periods and K_1-regulators using hypergeometric functions 3F2 in relation to the deformation parameter.
Contribution
It introduces a deformation of hypergeometric fibrations and provides explicit descriptions of their periods and K_1-regulators via hypergeometric functions 3F2.
Findings
Periods expressed in terms of hypergeometric functions 3F2.
K_1-regulators described using hypergeometric functions 3F2.
Deformation parameter influences the hypergeometric functions.
Abstract
We study a deformation of what we call hypergeometric fibrations. Its periods and K_1-regulators are described in terms of hypergeometric functions 3F2 in a variable given by the deformation parameter.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic Geometry and Number Theory · Polynomial and algebraic computation