ENGLISH

Introduction to Complex Analytic Geometry

By Stanislaw Lojasiewicz

Book information

Publisher
Birkhäuser Basel
Year
1991
ISBN
9783764319359, 3764319356
LCC
QA331.7 .L65 1991
Open Library ID
OL1553580M
Language
english
Format
DJVU
Filesize
14 MB (14907900 bytes)
Edition
1
Pages
535\535
Library
mexmat
Time added
2009-07-20 03:45:11

Description

The subject of this book is analytic geometry, understood as the geometry of analytic sets (or, more generally, analytic spaces), i.e. sets described locally by systems of analytic equations. Though many of the results presented are relatively modern, they are already part of the classical tool-kit of workers in analytic and algebraic geometry and in analysis, for example: the theorems of Chevalley on constructible sets, of Remmert-Stein on removable singularities, of Andreotti-Stoll on the fibres of a finite mapping, and of Andreotti-Salmon on factoriality of the Grassmannian. The chapter on the relationship between analytic and algebraic geometry is particularly illuminating. This book should be regarded as an introduction. Its aim is to familiarize the reader with a basic range of problems, using means as elementary as possible. At the same time, the author's intention is to give the reader accesss to complete proofs without the need to rely on so-called 'well-known' facts. All the necessary properties and theorems have been gathered in the first chapters - either with proofs or with references to standard and elementary textbooks.

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