Oscar Zariski: Collected Papers
Holomorphic Functions and Linear Systems
Seiten
1973
MIT Press (Verlag)
978-0-262-01038-2 (ISBN)
MIT Press (Verlag)
978-0-262-01038-2 (ISBN)
- Keine Verlagsinformationen verfügbar
- Artikel merken
This is the second of four volumes that will eventually present the full corpus of Zariski's mathematical contributions. Like the first volume (subtitled Foundations of Algebraic Geometry and Resolution of Singularities and edited by H. Hironaka and D. Mumford), it is divided into two parts, each devoted to a large but circumscribed area of research activity.
The first part, containing eight papers introduced by Artin, deals with the theory of formal holomorphic functions on algebraic varieties over fields of any characteristic. The primary concern, in Zariski's words, is "analytic properties of an algebraic variety V, either in the neighborhood of a point (strictly local theory) or - and this is the deeper aspect of the theory - in the neighborhood of an algebraic subvariety of V (semiglobal theory)."
Mumford surveys the ten papers reprinted in the second part. These deal with linear systems and the Riemann-Roch theorem and its applications, again in arbitrary characteristic. The applications are primarily to algebraic surfaces and include minimal models and characterization of rational or ruled surfaces.
The first part, containing eight papers introduced by Artin, deals with the theory of formal holomorphic functions on algebraic varieties over fields of any characteristic. The primary concern, in Zariski's words, is "analytic properties of an algebraic variety V, either in the neighborhood of a point (strictly local theory) or - and this is the deeper aspect of the theory - in the neighborhood of an algebraic subvariety of V (semiglobal theory)."
Mumford surveys the ten papers reprinted in the second part. These deal with linear systems and the Riemann-Roch theorem and its applications, again in arbitrary characteristic. The applications are primarily to algebraic surfaces and include minimal models and characterization of rational or ruled surfaces.
| Reihe/Serie | Mathematicians of Our Time |
|---|---|
| Verlagsort | Cambridge, Mass. |
| Sprache | englisch |
| Maße | 185 x 249 mm |
| Gewicht | 1429 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Mathematische Spiele und Unterhaltung |
| ISBN-10 | 0-262-01038-0 / 0262010380 |
| ISBN-13 | 978-0-262-01038-2 / 9780262010382 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
a treasury of elementary statistical tools and their applications
Buch | Softcover (2024)
Oxford University Press (Verlag)
CHF 43,60
12 ways numbers make sense of the world
Buch | Softcover (2024)
Heligo Books (Verlag)
CHF 19,15
