Lectures on Riemann Surfaces [Otto Forster] on *FREE* shipping on qualifying offers. Lectures on Riemann surfaces, by Otto Forster, Graduate Texts in Math., vol. 81, Springer-Verlag, New York, , viii + pp., $ ISBN What this course is about: Every serious study of analytic functions of one complex variable will need Riemann surfaces. For example, “multi-valued” functions.

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Examples of this are the primitives of holomorphic i-forms and the solutions of linear differential equations. Abel-Jacobi theorem and its first corollaries. I’ve worked through sections of both, and they’re both good.

The Universal Covering and Covering Transformations. Looking for forwter books?

Lecture surfaes, Tuesday, December 2, Complex tori as algebraic curves. Exercises from Lecture 14 ps-filepdf-file. Number of poles and zeroes of meromorphic functions on compact Riemann surfaces.

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We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. How should I understand this theorem? Dror’s book seems to lead naturally to Demailly’s very heavy book on Complex Analytic and Differential Geometry.

Lectures on Riemann Surfaces

B Topological Vector Spaces. Discrete Mathematics Laszlo Lovasz. There are two relevant categories: Riemann surfaces, several complex variables, Abelian functions, higher modular functions, Berlin: I think this post is almost a duplicate. Exercises from Lecture 6 ps-filepdf-file. The Serre Duality Theorem. This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces.

The Jacobi Inversion Problem. I will check this out. The Triviality of Vector Bundles. After you learn the basics, the book of Arbarello, Cornalba, Griffiths, Harris, is just amazing.

Exercises from Lecture 4 ps-filepdf-file. Euclid and Beyond Robin Hartshorne.

Book ratings by Goodreads. Exercises from Lecture 1 ps-filepdf-file.

Riemann surfaces

Elementary Properties of Holomorphic Mappings. Email Required, but never shown. Sign up using Email and Password. Sign up using Facebook. Lecture 5, Tuesday, October 14, Degree of a holomorphic map between compact Riemann surfaces. His main result is that all compact complex one manifolds occur as the Riemann surface of an algebraic curve. Ted Shifrin notes above: The argument is surffaces to the proof of Nakayama’s lemma. Holomorphic maps of complex tori.


Riemann Surfaces WS /

riemajn Gilligan Lectures on Riemann Surfaces “A very attractive addition to the list in the form of a well-conceived and handsomely produced textbook based on several years’ lecturing experience. Perspectives on Riemann Surfaces.

It is clearly written, contains historical comments and a lot of mathematical gems.