Classical Algebraic Geometry: Volume 1
A Modern View
Seiten
2026
|
2nd Revised edition
Cambridge University Press (Verlag)
978-1-009-73388-5 (ISBN)
Cambridge University Press (Verlag)
978-1-009-73388-5 (ISBN)
- Noch nicht erschienen (ca. April 2026)
- Versandkostenfrei
- Auch auf Rechnung
- Artikel merken
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 first volume includes an extensive look at the enumerative geometry of quadrics and a more in-depth exploration of Cremona transformations, featuring more examples of different types. Furthermore, the expanded bibliography now encompasses over 800 references, including references to results obtained in the twelve 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 first volume includes an extensive look at the enumerative geometry of quadrics and a more in-depth exploration of Cremona transformations, featuring more examples of different types. Furthermore, the expanded bibliography now encompasses over 800 references, including references to results obtained in the twelve 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; 1. Polarity; 2. Conics and Quadric Surfaces; 3. Plane Cubics; 4. Determinantal Varieties; 5. Theta Characteristics; 6. Plane Quartics; 7. Cremona Transformations.
| Erscheint lt. Verlag | 30.4.2026 |
|---|---|
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 1-009-73388-5 / 1009733885 |
| ISBN-13 | 978-1-009-73388-5 / 9781009733885 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
CHF 76,90
a history of modern trigonometry
Buch | Softcover (2025)
Princeton University Press (Verlag)
CHF 34,90
