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＜電子ブック＞
Arithmetic L-Functions and Differential Geometric Methods : Regulators IV, May 2016, Paris / edited by Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot
(Progress in Mathematics. ISSN:2296505X ; 338)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2021
本文言語	英語
大きさ	VIII, 324 p : online resource
著者標目	Charollois, Pierre editor Freixas i Montplet, Gerard editor Maillot, Vincent editor SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Geometry, Differential LCSH:Algebraic geometry FREE:Number Theory FREE:Differential Geometry FREE:Algebraic Geometry
一般注記	Preface -- Regulator of hypergeometric fibrations -- Two recent p-adic approaches towards the (effective) Mordell conjecture -- The syntomic regulator for K2 of curves with arbitrary reduction -- Toric regulators -- Higher displays arising from filtered de Rham-Witt complexes -- Orbifold submersion and analytic torsions -- Analytic torsions, regulators and arithmetic hyperbolic manifolds -- A local re nement of the Adams-Riemann-Roch theorem in degree one -- Analytic torsion and dynamical flow: a survey on the Fried conjecture -- A survey of the additive dilogarithm This book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are: • Additive polylogarithms • Analytic torsions • Chabauty-Kim theory • Local Grothendieck-Riemann-Roch theorems • Periods • Syntomic regulator The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk HTTP:URL=https://doi.org/10.1007/978-3-030-65203-6

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