Arithmetic and geometry

Arithmetic and geometry

by Dieulefait, Luis Faltings, Gerd Heath-Brown, D. R. Manin, Yu. V. Moroz, B. Z. Wintenberger, Jean-Pierre

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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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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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Edition Statements

  • Publication Date:©2015

Publication Statements

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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