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Magical Tome

Cover of The valuative tree
First published
2004
Publisher
Springer London, Limited
ISBN
9783540446460

The valuative tree

The outer archives are busy

by Charles Favre

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.

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