ABSTRACT

This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.

chapter I

Introduction

chapter II|3 pages

The First Epoch

chapter III|4 pages

The Second Epoch

chapter IV|10 pages

The Third Epoch

chapter V|9 pages

The Fourth Epoch

chapter VI|32 pages

The Fifth Epoch

chapter VII|32 pages

The Sixth Epoch

chapter VIII|23 pages

—The Seventh Epoch

chapter IX|49 pages

IX —Recent Results And Open Problems