Zeta Functions and Modular Forms

  • A. N. Parshin
  • I. R. Shafarevich
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 49)

Abstract

Let X be a scheme of finite type over Spec ℤ (see §1 of Chapter 3). Then the closed points x ∈ X are those which satisfy the condition that the corresponding residue field R(x) is finite. The cardinality of R(x) is called the norm of x and is denoted by N(x). The set of all closed points of X is denoted by ̄X. For the moment we shall think of this as a discrete topological space.

Keywords

Tate Bedding Cond Fermat Univer 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • A. N. Parshin
    • 1
  • I. R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

Personalised recommendations