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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Xuxu 2 8. The approach in the wonderful book of Miranda is to consider the functor from algebraic curves to compact complex one manifolds, although he never fully proves it is well defined. I will check this out. Personally I found the following survey article very inspiring when learning the subject: Exercises from Lecture 6 ps-filepdf-file.
Number of riemamn and zeroes of meromorphic functions on compact Riemann surfaces.
Lectures on Riemann Surfaces
Exercises from Lecture 1 ps-filepdf-file. The book is divided into three chapters. It surfzces partly what you are more interested in, geometry or analysis.
B Topological Vector Spaces. How should I understand this theorem?
Forster: Riemann Surfaces
Description This book grew out of lectures on Riemann surfaces given foester Otto Forster at the universities of Munich, Regensburg, and Munster. The more analytic approach is to begin with compact complex one manifolds and prove they are all representable as algebraic curves. In particular this includes the Riemann surfaces of algebraic functions. Book ratings by Goodreads. Line and Vector Bundles.
The reviewer is inclined to think that it may well become a favorite. Exercises from Lecture 7 ps-filepdf-file. Riemann surfaces, several complex variables, Abelian functions, higher modular functions, Berlin: Post as a guest Name. Lecture 1, Tuesday, September 16, Definition of Riemann surfaces, first examples. I think the two books you provided seem to be much more readable for me. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one.
Sheaves of modules associated to divisors, Riemann-Roch space. I’ve worked through sections of both, and they’re both good.
There are two relevant categories: I enjoyed Erik Reyssat’s book in the Progress in Mathematics series for it balance between clarity and concision. Griffiths, Philip; Harris, Joseph. The Triviality of Vector Bundles. We’re featuring millions firster their reader ratings on our book pages to help you find your new favourite book.
Meromorphic functions, first properties of morhisms of Riemann surfaces. Exercises from Lecture 12 ps-filepdf-file. The Exact Cohomology Sequence.