English

Regulators of K_2 of Hypergeometric Fibrations

Algebraic Geometry 2017-11-23 v2

Abstract

We discuss Beilinson's regulator on K_2 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.

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Cite

@article{arxiv.1703.10362,
  title  = {Regulators of K_2 of Hypergeometric Fibrations},
  author = {Masanori Asakura},
  journal= {arXiv preprint arXiv:1703.10362},
  year   = {2017}
}

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25 pages