Classical Algebraic Geometry: Volume 2
A Modern View
Seiten
2026
|
2nd Revised edition
Cambridge University Press (Verlag)
978-1-009-73307-6 (ISBN)
Cambridge University Press (Verlag)
978-1-009-73307-6 (ISBN)
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Helping researchers and graduate student to bridge the gap between classical and modern algebraic geometry, this text explains classical results using modern tools and language. Expanded and updated, this edition covers topics of modern mathematical research in algebraic geometry, group theory, topology, number theory and complex dynamics.
The 20th century saw the development of many of the key concepts and theories in algebraic geometry. However, the evolution of style and approach over time has rendered the original texts challenging for modern readers to decipher. Bridging the gap between classical and modern algebraic geometry, this book explains classical results using modern tools and language. The second edition has undergone significant expansion. This second volume includes new chapters on quartic surfaces, and on the theory of congruences of lines, the first known modern treatment of the work of E. Kummer and R. Sturm. Furthermore, the expanded bibliography now encompasses over 800 references, including references to results obtained in the 12 years since the publication of the first edition. This carefully crafted reference will continue to keep classical algebraic geometry results alive and accessible to new generations of graduate students and researchers today.
The 20th century saw the development of many of the key concepts and theories in algebraic geometry. However, the evolution of style and approach over time has rendered the original texts challenging for modern readers to decipher. Bridging the gap between classical and modern algebraic geometry, this book explains classical results using modern tools and language. The second edition has undergone significant expansion. This second volume includes new chapters on quartic surfaces, and on the theory of congruences of lines, the first known modern treatment of the work of E. Kummer and R. Sturm. Furthermore, the expanded bibliography now encompasses over 800 references, including references to results obtained in the 12 years since the publication of the first edition. This carefully crafted reference will continue to keep classical algebraic geometry results alive and accessible to new generations of graduate students and researchers today.
Igor V. Dolgachev is Professor Emeritus at the University of Michigan. He has published over 100 research papers in various areas of algebraic geometry, and is the author of several books, including Lectures on Invariant Theory (2003) and Enriques Surfaces I & II (2025).
Preface; Preface to the Second Edition; 8. Del Pezzo Surfaces; 9. Cubic Surfaces; 10. Line Geometry; 11. Congruences of Line P^3; 12. Quartic Surfaces in P ^3.
| Erscheint lt. Verlag | 30.4.2026 |
|---|---|
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 1-009-73307-9 / 1009733079 |
| ISBN-13 | 978-1-009-73307-6 / 9781009733076 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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