Number fields and function fields [electronic resource] : two parallel worlds / Gerard van der Geer, Ben Moonen, René Schoof, editors.

Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject. As a deeper understanding of this analogy could have tremendous consequences, the search...

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Bibliographic Details
Online Access: Full Text (via Springer)
Other Authors: Geer, Gerard van der, Moonen, Ben, Schoof, René
Format: Electronic eBook
Language:English
Published: Boston : Birkhäuser, ©2005.
Series:Progress in mathematics (Boston, Mass.) ; v. 239.
Subjects:
Table of Contents:
  • Arithmetic over function fields : a cohomological approach / Gebhard Böckle
  • Algebraic stacks whose number of points over finite fields is a polynomial / Theo van den Bogaart and Bas Edixhoven
  • On a problem of Miyaoka / Holger Brenner
  • Monodromy groups associated to non-isotrivial drinfeld modules in generic characteristic / Florian Breuer and Richard Pink
  • Irreducible values of polynomials : a non-analogy / Keith Conrad
  • Schemes over F1 / Anton Deitmar
  • Line bundles and p-adic characters / Christopher Deninger and Annette Werner
  • Arithmetic Eisenstein classes on the Siegel space : some computations / Gerd Faltings
  • Uniformizing the stacks of Abelian sheaves / Urs Hartl
  • Faltings' delta-invariant of a hyperelliptic Riemann suface / Robin de Jong
  • A Hirzebruch proportionality principle in Arakelov geometry / Kai Köhler
  • On the height conjecture for algebraic points on curves defined over number fields / Ulf Kühn
  • A note on absolute derivations and zeta functions / Jeffrey C. Lagaris
  • On the order of certain characteristic classes of the Hodge Bundle of semi-abelian schemes / Vincent Maillot and Damian Roessler
  • A note on the Manin-Mumford conjecture / Damian Roessler.