Number Fields and Function Fields - Two Parallel Worlds (Hardcover, 2005)

* Preface * Participants * List of Contributors * G. Bockle: Arithmetic over Function Fields: A Cohomological Approach * T. van den Bogaart and B. Edixhoven: Algebraic Stacks Whose Number of Points over Finite Fields Is a Polynomial * H. Brenner: On a Problem of Miyaoka * F. Breuer and R. Pink: Monodromy Groups Associated to Nonisotrivial Drinfeld Modules in Generic Characteristic * K. Conrad: Irreducible Values of Polynomials: A Nonanalogy * A. Deitmar: Schemes over F1 * C. Deninger and A. Werner: Line Bundles and p-Adic Characters * G. Faltings: Arithmetic Eisenstein Classes on the Siegel Space: Some Computations * U. Hartl: Uniformizing the Stacks of Abelian Sheaves * R. de Jong: Faltings’ Delta-Invariant of a Hyperelliptic Riemann Surface * K. Kohler: A Hirzebruch Proportionality Principle in Arakelov Geometry * U. Kuhn: On the Height Conjecture for Algebraic Points on Curves Defined over Number Fields * J.C. Lagarias: A Note on Absolute Derivations and Zeta Functions * V. Maillot and D. Roessler: On the Order of Certain Characteristic Classes of the Hodge Bundle of Semiabelian Schemes * D. Roessler: A Note on the Manin?Mumford Conjecture