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Complex analytic geometry

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Published by Springer-Verlag in Berlin, New York .
Written in English


  • Functions of several complex variables.,
  • Analytic spaces.,
  • Fiber spaces (Mathematics)

Book details:

Edition Notes

StatementGerd Fischer.
SeriesLecture notes in mathematics ; 538, Lecture notes in mathematics (Springer-Verlag) ;, 538.
LC ClassificationsQA3 .L28 vol. 538, QA331 .L28 vol. 538
The Physical Object
Paginationvii, 201 p. :
Number of Pages201
ID Numbers
Open LibraryOL4894423M
ISBN 100387078576
LC Control Number76027692

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Introduction to Complex Variables. These are the sample pages from the textbook, 'Introduction to Complex Variables'. This book covers the following topics: Complex numbers and inequalities, Functions of a complex variable, Mappings, Cauchy-Riemann equations, Trigonometric and hyperbolic functions, Branch points and branch cuts, Contour integration, Sequences and .   This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting . I wish to learn Complex Geometry and am aware of the following books: Huybretchs, Voisin, Griffths-Harris, R O Wells, Demailly. But I am not sure which one or two to choose. I am interested in learning complex analytic & complex algberaic geometry both.   Analytic Geometry covers several fundamental aspects of analytic geometry needed for advanced subjects, including calculus. This book is composed of 12 chapters that review the principles, concepts, and analytic proofs of geometric theorems, families of lines, the normal equation of the line, and related matters/5(2).

Complex Analytic Geometry. Authors; Gerd Fischer; Book. Citations; Search within book. Front Matter. Pages I-VII. PDF. Basic notions. Gerd Fischer. Pages Coherent sheaves Differential calculus. Gerd Fischer. Pages Appendix. Normal and maximal complex spaces. Gerd Fischer. Pages Degeneracies and flatness. Gerd. 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. Geometry *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Complex Analytic and Differential Geometry by Jean-Pierre Demailly. Publisher: Universite de Grenoble Number of pages: Description: From the table of contents: basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge .