Lecture Notes in Mathematics

The Valuative Tree

Authors: Favre, Charles, Jonsson, Mattias

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About this book

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.

Table of contents (17 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-44646-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-22984-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Valuative Tree
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1853
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44646-0
DOI
10.1007/b100262
Softcover ISBN
978-3-540-22984-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 244
Topics