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.
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.
1. Introduction 2. The First Epoch Prehistory (ca. 400 B.C. 1630 A.D.) 3. The Second Epoch Exploration (1630 1795) 4. The Third Epoch The golden age of projective geometry (1795 1850) 5. The Fourth Epoch Riemann and birational geometry (1850 1866) 6. The Fifth Epoch Development and chaos (1866 1920) 7. The Sixth Epoch New structures in algebraic geometry (1920 1950) 8. The Seventh Epoch Sheaves and schemes (1950 ) 9. Recent Results and Open Problems
1. Introduction 2. The First Epoch Prehistory (ca. 400 B.C. 1630 A.D.) 3. The Second Epoch Exploration (1630 1795) 4. The Third Epoch The golden age of projective geometry (1795 1850) 5. The Fourth Epoch Riemann and birational geometry (1850 1866) 6. The Fifth Epoch Development and chaos (1866 1920) 7. The Sixth Epoch New structures in algebraic geometry (1920 1950) 8. The Seventh Epoch Sheaves and schemes (1950 ) 9. Recent Results and Open Problems
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