Regulators of K₂ of Hypergeometric Fibrations

2017/03/30 by Masanori Asakura, Asakura, Masanori · 1 citation
Computer Science · Mathematics · #11G15 #14D07 #14K22 (secondary) #19F27 #33C20 (primary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1703.10362

openalex publication_date 2017/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss Beilinson's regulator on K₂ of certain fibrations of algebraic varieties which we call the hypergeomtric fibrations. The main result is to describe regulators via the hypergeometric functions 3F2 or 4F3. We also discuss the Beilinson conjecture on the special values of L-functions.

Cited by

• F-isocrystal and syntomic regulators via hypergeometric functions

Related

• Regulators of K₁ of Hypergeometric Fibrations
• F-isocrystal and syntomic regulators via hypergeometric functions
• On the regulator of Fermat motives and generalized hypergeometric functions
• CM periods, CM regulators and hypergeometric functions, II
• A formula for Beilinson's regulator map on K₁ of a fibration of curves having a totally degenerate semistable fiber