Number Fields and Function Fields—Two Parallel Worlds

Chapter 1 Arithmetic over Function Fields: A Cohomological Approach

Chapter 2 Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial

Chapter 3 On a Problem of Miyaoka

Chapter 4 Monodromy Groups Associated to Non-Isotrivial Drinfeld Modules in Generic Characteristic

Chapter 5 Irreducible Values of Polynomials: A Non-Analogy

Chapter 6 Schemes over $$ \mathbb{F}_1 $$

Chapter 7 Line Bundles and p -Adic Characters

Chapter 8 Arithmetic Eisenstein Classes on the Siegel Space: Some Computations

Chapter 9 Uniformizing the Stacks of Abelian Sheaves

Chapter 10 Faltings’ Delta-Invariant of a Hyperelliptic Riemann Surface

Chapter 11 A Hirzebruch Proportionality Principle in Arakelov Geometry

Chapter 13 A Note on Absolute Derivations and Zeta Functions

Chapter 14 On the Order of Certain Characteristic Classes of the Hodge Bundle of Semi-Abelian Schemes

Chapter 15 A Note on the Manin-Mumford Conjecture