Lecture Notes in Mathematics

Favre, Charles; Jonsson, Mattias

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.

Details

Published by: Springer

Publication Date: 2004-09-16

Format: Paperback

ISBN-13: 9783540229841

DOI: 10.1007/b100262

Dimensions: cm xcm

Pages: 244