Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics - Scuola Normale Superiore | Lectures on complex analysis and analytic geometry

Lectures on complex analysis and analytic geometry

Della Sala, G., Saracco, A., Simioniuc, A., Tomassini, G.

XIX, 430 p.

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

(net) price for USA

ISBN 978-88-7642-199-0

free shipping for individuals worldwide

online orders shipping within 2-3 days.


add to marked items

$34.95
  • About this textbook

This book is an introduction to the theory of holomorphic functions of several complex variables. It is based on the courses attended by students of mathematics at Scuola Normale Superiore of Pisa. Its treated subjects range from an advanced undergraduate course to a Ph.D. level. The book is largely divided into three parts. The first one, perhaps the most curricular, deals with the domains of holomorphy and their characterizations, through different notions of convexity (holomorphic convexity, Leviconvexity and pseudoconvexity) and the Cauchy-Riemann equation. The extension of this matter to complex spaces, known as the Oka-Cartan theory, is the content of the second part. This theory systematically makes use of the local analytic geometry and of the theory of sheaves and cohomology. The last part deals with the interplay between the theory of topological algebras and the theory of holomorphic functions. Some of the advanced results in the field are overviewed, sometimes without detailed proofs, and (still) open problems are discussed.

Content Level » Research

Keywords » several complex variables

Related subjects » Scuola Normale Superiore

Popular Content within this publication 

 

Articles

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Several Complex Variables and Analytic Spaces.

Additional information