Number fields and function fields : two parallel worlds

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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Korporativní autor: Texel conference :Texel, Pays-Bas
Další autoři: van der Geer, Gerard B M. (Šéfredaktor, odpovědný redaktor), Geer, Gerard van der, 1950-...., mathématicien (Šéfredaktor, odpovědný redaktor), Moonen, Ben, 19..- (Šéfredaktor, odpovědný redaktor), Schoof, René, 1955-...., mathématicien (Šéfredaktor, odpovědný redaktor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Vydání:1st ed. 2005.
Edice:Progress in Mathematics 239
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Poznámka: Publié à l'occasion de la 4e Texel Conference, "The analogy between number fields and function fields", tenue à Texel la dernière semaine d'avril 2004
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Number fields and function fields, two parallel worlds, Gerard van der Geer, Ben Moonen, René Schoof, editors, 2005, Boston, Birkhäuser, 1 vol. (XIII-318 p.), Progress in mathematics, 978-0-8176-4397-3
• Number Fields and Function Fields - Two Parallel Worlds, Texte imprimé, 9780817671051
• Number fields and function fields, two parallel worlds, Gerard van der Geer, Ben Moonen, René Schoof, editors, 2005, Boston, Birkhäuser, 1 vol. (XIII-318 p.), Progress in mathematics, 978-0-8176-4397-3
Obsah:
  • Arithmetic over Function Fields: A Cohomological Approach Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial On a Problem of Miyaoka Monodromy Groups Associated to Non-Isotrivial Drinfeld Modules in Generic Characteristic Irreducible Values of Polynomials: A Non-Analogy Schemes over Line Bundles and p-Adic Characters Arithmetic Eisenstein Classes on the Siegel Space: Some Computations Uniformizing the Stacks of Abelian Sheaves Faltings Delta-Invariant of a Hyperelliptic Riemann Surface A Hirzebruch Proportionality Principle in Arakelov Geometry On the Height Conjecture for Algebraic Points on Curves Defined over Number Fields A Note on Absolute Derivations and Zeta Functions On the Order of Certain Characteristic Classes of the Hodge Bundle of Semi-Abelian Schemes A Note on the Manin-Mumford Conjecture