Title Statements
- Full title :Arithmetic and geometry / edited by Luis Dieulefait, Gerd Faltings, D.R. Heath-Brown, Yu V. Manin, B.Z. Moroz, Jean-Pierre Wintenberger.
Summary
The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.
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- Publication Date:©2015
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:©2015
The Physical Object
- Description:1 online resource (xxxiii, 503 pages)
Edition Identifiers
- ISBN:9781316385043, 1316385043, 9781316106877, 131610687X
- oclc:ocn919343093
- LC Classification:QA241
- Dewey Decimal:510
Table of Contents
Galois groups of local fields, Lie algebras and ramification / Victor Abrashkin -- A characterisation of ordinary modular eigenforms with CM / Rajender Adibhatla and Panagiotis Tsaknias -- Selmer complexes and p-adic Hodge theory / Denis Benois -- A survey of applications of the circle method to rational points / T.D. Browning -- Arithmetic differential equations of Painlevé VI type / Alexandru Buium and Yuri Manin -- Differential calculus with integers / Alexandra Buium -- Un calcul de groupe de Brauer et une application arithmétique / Jean-Louis Colliot-Thélène -- Connectedness of Hecke algebras and the Rayuelaconjecture: a path to functoriality and modularity / Luis Dieulefait and Ariel Pacetti -- Big image of Galois representations and congruence ideals / Haruzo Hida and Jacques Tilouine -- The skew-symmetric pairing on the Lubin-Tate formal module / M.A. Ivanov and S.V. Vostokov -- Equations in matrix groups and algebras over number fields and rings: prolegomena to a lowbrow noncommutative Diophantine geometry / Boris Kunyaskii -- On the -adic regulator as an ingredient of Iwasawa theory / L.V. Kuz'min -- On a counting problem for G-shtukas / Ngo Dac Tuan -- Modular forms and…
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