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Titlebook: Lectures on Riemann Surfaces; Otto Forster Textbook 1981 Springer-Verlag New York Inc. 1981 Riemann surfaces.Riemann-roch theorem.Riemanns

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書目名稱Lectures on Riemann Surfaces
編輯Otto Forster
視頻videohttp://file.papertrans.cn/584/583591/583591.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Lectures on Riemann Surfaces;  Otto Forster Textbook 1981 Springer-Verlag New York Inc. 1981 Riemann surfaces.Riemann-roch theorem.Riemanns
描述This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. Its aim is to give an introduction to this rich and beautiful subject, while presenting methods from the theory of complex manifolds which, in the special case of one complex variable, turn out to be particularly elementary and transparent. The book is divided into three chapters. In the first chapter we consider Riemann surfaces as covering spaces and develop a few basics from topology which are needed for this. Then we construct the Riemann surfaces which arise via analytic continuation of function germs. In particular this includes the Riemann surfaces of algebraic functions. As well we look more closely at analytic functions which display a special multi-valued behavior. Examples of this are the primitives of holomorphic i-forms and the solutions of linear differential equations. The second chapter is devoted to compact Riemann surfaces. The main classical results, like the Riemann-Roch Theorem, Abel‘s Theorem and the Jacobi inversion problem, are presented. Sheaf cohomology is an important technical tool. But only the first cohomology groups are used
出版日期Textbook 1981
關鍵詞Riemann surfaces; Riemann-roch theorem; Riemannsche Fl?che; Surfaces; differential equation; minimum
版次1
doihttps://doi.org/10.1007/978-1-4612-5961-9
isbn_softcover978-1-4612-5963-3
isbn_ebook978-1-4612-5961-9Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York Inc. 1981
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Otto Fosterto these basic facts concerning the general biological signi- ficance of incompatibility, important advances have been made in recent years, especially in the investigation of the genetics of incompatibility systems. Sufficient information concerning the genetic determination of incompatibility is n
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Otto Fosterice, they need to respond to employer demands to produce graduates with the ability to use relevant management knowledge and make competent decisions. Given the complexity of the market place and the demands from employers to deliver graduate managers who are able to deal with inherent complexities
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0072-5285 Abel‘s Theorem and the Jacobi inversion problem, are presented. Sheaf cohomology is an important technical tool. But only the first cohomology groups are used 978-1-4612-5963-3978-1-4612-5961-9Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Covering Spaces,cause the analytic continuation of a given holomorphic function element along different paths leads in general to different branches of that function. It was the idea of Riemann to replace the domain of the function with a many sheeted covering of the complex plane. If the covering is constructed so
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Compact Riemann Surfaces,ned by algebraic functions. As well their function theory is subject to interesting restrictions, like the Riemann-Roch Theorem and Abel’s Theorem. More recently the theory of Riemann surfaces has been generalized to an extensive theory for complex manifolds of higher dimension. And the methods deve
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