Gerard B. M. van der Geer,
BJJ Moonen,
René Schoof
Number Fields and Function Fields – Two Parallel Worlds
Gebonden Engels 2005 9780817643973Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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
Specificaties
ISBN13:9780817643973
Taal:Engels
Bindwijze:gebonden
Uitgever:Birkhäuser Boston
Serie:Progress in Mathematics
Lezersrecensies
Wees de eerste die een lezersrecensie schrijft!
Inhoudsopgave
* Preface
* Participants
* List of Contributors
* G. Böckle: 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. Köhler: A Hirzebruch Proportionality Principle in Arakelov Geometry
* U. Kühn: 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
* Participants
* List of Contributors
* G. Böckle: 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. Köhler: A Hirzebruch Proportionality Principle in Arakelov Geometry
* U. Kühn: 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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