The valuative tree / Charles Favre; Mattias Jonsson

By:

Favre, Charles, 1973- [aut]

Contributor(s):

Jonsson, Mattias [aut]

Resource type: Ressourcentyp: BuchBookPublisher number: 11317661Language: English Series: Lecture notes in mathematics ; 1853Publisher: Berlin ; Heidelberg [u.a.] : Springer, 2004Description: XV, 234 S : graph. Darst ; 24 cmISBN:

3540229841

Subject(s):

Additional physical formats: Erscheint auch als: The Valuative Tree. Online-Ausgabe Berlin, Heidelberg : Springer Berlin Heidelberg, 2004. Online-Ressource (XVI, 244 p, online resource)DDC classification:

510 511.52
510
s
511/.52
510 s
510

MSC: MSC: *14H20 | 05C05 | 13A18 | 13B22 | 13F25RVK: RVK: SI 850 | SK 240LOC classification:

QA3
QA166.2

Summary: This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions. Its intricate yet manageable structure can be analyzed by both algebraic and geometric means. Many types of singularities, including those of curves, ideals, and plurisubharmonic functions, can be encoded in terms of positive measures on the valuative tree. The construction of these measures uses a natural tree Laplace operator of independent interest. TOC:Introduction.- 1. Generalities.- 2. MacLane's Method.- 3. Tree Structures.- 4. Valuations Through Puiseux Series.- 5. Topologies.- 6. The Universal Dual Graph.- 7. Tree Measures.- 8. Applications of the Tree Analysis.- Appendix.- References.- Index. &nbspPPN: PPN: 392333139

Holdings ( 1 )

Holdings
Item type	Home library	Shelving location	Call number	Status	Date due	Barcode	Item holds
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Lect. notes / 1853	Available		36434766090

Total holds: 0