CM Periods, CM Regulators, and Hypergeometric Functions, I


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/71465

Title:	CM Periods, CM Regulators, and Hypergeometric Functions, I
Authors:	Asakura, Masanori Browse this author →KAKEN DB
Authors:	Otsubo, Noriyuki Browse this author
Keywords:	period
	regulator
	complex multiplication
	hypergeometric function
Issue Date:	Jun-2018
Publisher:	Canadian Mathematical Society
Journal Title:	Canadian journal of mathematics
Journal Title(alt):	Journal canadien de mathématiques
Volume:	70
Issue:	3
Start Page:	481
End Page:	514
Publisher DOI:	10.4153/CJM-2017-008-6
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 F-3(2), and obtain a new example of non-trivial regulators.
Rights:	First published in Canadian Mathematical Bulletin at http://dx.doi.org/10.4153/CJM-2017-008-6. Copyright 2018, Canadian Mathematical Society.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/71465
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 朝倉政典

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