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＜E-Book＞
Meromorphic Functions and Projective Curves / by Kichoon Yang
(Mathematics and Its Applications ; 464)

Edition	1st ed. 1999.
Publisher	(Dordrecht : Springer Netherlands : Imprint: Springer)
Year	1999
Language	English
Size	VIII, 208 p : online resource
Authors	*Kichoon Yang author SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Functions of complex variables LCSH:Geometry, Differential FREE:Algebraic Geometry FREE:Functions of a Complex Variable FREE:Differential Geometry
Notes	This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface. Thus the main subject matter consists of holomorphic maps from a compact Riemann surface to complex projective space. Our emphasis is on families of meromorphic functions and holomorphic curves. Our approach is more geometric than algebraic along the lines of [Griffiths-Harrisl]. AIso, we have relied on the books [Namba] and [Arbarello-Cornalba-Griffiths-Harris] to agreat exten- nearly every result in Chapters 1 through 4 can be found in the union of these two books. Our primary motivation was to understand the totality of meromorphic functions on an algebraic curve. Though this is a classical subject and much is known about meromorphic functions, we felt that an accessible exposition was lacking in the current literature. Thus our book can be thought of as a modest effort to expose parts of the known theory of meromorphic functions and holomorphic curves with a geometric bent. We have tried to make the book self-contained and concise which meant that several major proofs not essential to further development of the theory had to be omitted. The book is targeted at the non-expert who wishes to leam enough about meromorphic functions and holomorphic curves so that helshe will be able to apply the results in hislher own research. For example, a differential geometer working in minimal surface theory may want to tind out more about the distribution pattern of poles and zeros of a meromorphic function HTTP:URL=https://doi.org/10.1007/978-94-015-9151-5

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