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Preface to the Second Edition

Preface to the First Edition

Varieties / I：

Some algebra / 1：

Irreducible algebraic sets / 2：

Definition of a morphism / 3：

Sheaves and affi ne varieties / 4：

Definition of prevarieties and morphisms / 5：

Products and the Hausdorff Axiom / 6：

Dimension / 7：

The fibres of a morphism / 8：

Complete varieties / 9：

Complex varieties / 10：

Preschemes / II：

Spec (R)

The category of preschemes

Varieties and preschemes

Fields of definition

Closed subpreschemes

The functor of points of a prescheme

Proper morphisms and finite morphisms

Specialization

Local Properties of Schemes / III：

Quasi-coherent modules

Coherent modules

Tangent cones

Non-singularity and differentials

Ã‰tale morphisms

Uniformizing parameters

Non-singularity and the UFD property

Normal varieties and normalization

Zariski's Main Theorem

Flat and smooth morphisms

Appendix: Curves and Their Jacobians

What is a Curve and How Explicitly Can We Describe Them? / Lecture I：

The Moduli Space of Curves: Definition, Coordinatization, and Some Properties / Lecture II：

How Jacobians and Theta Functions Arise / Lecture III：

The Torelli Theorem and the Schottky Problem / Lecture IV：

Survey of Work on the Schottky Problem up to 1996 by Enrico Arbarello

References: The Red Book of Varieties and Schemes

Guide to the Literature and References: Curves and Their Jacobians

Supplementary Bibliography on the Schottky Problem by Enrico Arbarello

Preface to the Second Edition

Preface to the First Edition

Varieties / I：

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The foreign exchange market

Balance of payments and national accounts

The role of the exchange rate in the adjustment process in a partial equilibrium framework

The role of income changes in the adjustment process

The absorption approach and interactions between exchange rate and income in the adjustment process

Money and other assets in the adjustment process under fixed exchange rates

Money and other assets in the adjustment process under flexible exchange rates

International capital movements and other problems

The exchange rate

The theory of monetary integration and the European Monetary System

Problems of the international monetary system

The problem of integration between the pure theory of international trade and international monetary economics

The foreign exchange market

Balance of payments and national accounts

The role of the exchange rate in the adjustment process in a partial equilibrium framework

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