Number fields and function fields : two parallel worlds
著者
書誌事項
Number fields and function fields : two parallel worlds
（Progress in mathematics, v. 239）
Birkhäuser, c2005
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注記
Includes bibliographical references
内容説明・目次
内容説明
Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields
Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives
Aimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections
目次
* Preface
* Participants
* List of Contributors
* G. Boeckle: 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. Koehler: 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
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