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Number Fields and Function Fields—Two Parallel Worlds

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Cover of 'Number Fields and Function Fields—Two Parallel Worlds'

Table of Contents

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    Book Overview
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    Chapter 1 Arithmetic over Function Fields: A Cohomological Approach
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    Chapter 2 Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial
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    Chapter 3 On a Problem of Miyaoka
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    Chapter 4 Monodromy Groups Associated to Non-Isotrivial Drinfeld Modules in Generic Characteristic
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    Chapter 5 Irreducible Values of Polynomials: A Non-Analogy
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    Chapter 6 Schemes over $$ \mathbb{F}_1 $$
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    Chapter 7 Line Bundles and p -Adic Characters
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    Chapter 8 Arithmetic Eisenstein Classes on the Siegel Space: Some Computations
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    Chapter 9 Uniformizing the Stacks of Abelian Sheaves
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    Chapter 10 Faltings’ Delta-Invariant of a Hyperelliptic Riemann Surface
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    Chapter 11 A Hirzebruch Proportionality Principle in Arakelov Geometry
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    Chapter 12 On the Height Conjecture for Algebraic Points on Curves Defined over Number Fields
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    Chapter 13 A Note on Absolute Derivations and Zeta Functions
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    Chapter 14 On the Order of Certain Characteristic Classes of the Hodge Bundle of Semi-Abelian Schemes
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    Chapter 15 A Note on the Manin-Mumford Conjecture
Attention for Chapter 11: A Hirzebruch Proportionality Principle in Arakelov Geometry
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