Introduction to Complex Analytic Geometry

Released on by Stanislaw Lojasiewicz
preview-18

  • Introduction to Complex Analytic Geometry Book Detail

  • Author : Stanislaw Lojasiewicz
  • Release Date : 2013-03-09
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 535
  • ISBN 13 : 3034876173
  • File Size : 22,22 MB
DOWNLOAD BOOK

Introduction to Complex Analytic Geometry by Stanislaw Lojasiewicz PDF Summary

Book Description: facts. An elementary acquaintance with topology, algebra, and analysis (in cluding the notion of a manifold) is sufficient as far as the understanding of this book is concerned. All the necessary properties and theorems have been gathered in the preliminary chapters -either with proofs or with references to standard and elementary textbooks. The first chapter of the book is devoted to a study of the rings Oa of holomorphic functions. The notions of analytic sets and germs are introduced in the second chapter. Its aim is to present elementary properties of these objects, also in connection with ideals of the rings Oa. The case of principal germs (§5) and one-dimensional germs (Puiseux theorem, §6) are treated separately. The main step towards understanding of the local structure of analytic sets is Ruckert's descriptive lemma proved in Chapter III. Among its conse quences is the important Hilbert Nullstellensatz (§4). In the fourth chapter, a study of local structure (normal triples, § 1) is followed by an exposition of the basic properties of analytic sets. The latter includes theorems on the set of singular points, irreducibility, and decom position into irreducible branches (§2). The role played by the ring 0 A of an analytic germ is shown (§4). Then, the Remmert-Stein theorem on re movable singularities is proved (§6). The last part of the chapter deals with analytically constructible sets (§7).

Disclaimer: www.yourbookbest.com does not own Introduction to Complex Analytic Geometry books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Introduction to Complex Analytic Geometry

Introduction to Complex Analytic Geometry

File Size : 25,25 MB
Total View : 6974 Views
DOWNLOAD

facts. An elementary acquaintance with topology, algebra, and analysis (in cluding the notion of a manifold) is sufficient as far as the understanding of this b

Financial Ecologies Framed by Fintech

Financial Ecologies Framed by Fintech

File Size : 65,65 MB
Total View : 2058 Views
DOWNLOAD

Financial technologies are understood as ICT-based financial innovations and business entities based on these innovations (Lai & Samers, 2021; Langley & Leyshon

Differential Geometry in the Large

Differential Geometry in the Large

File Size : 91,91 MB
Total View : 1876 Views
DOWNLOAD

From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.