| 书目名称 | Meromorphic Functions and Projective Curves |
| 编辑 | Kichoon Yang |
| 视频video | |
| 丛书名称 | Mathematics and Its Applications |
| 图书封面 |  |
| 描述 | 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 |
| 出版日期 | Book 1999 |
| 关键词 | Divisor; Grad; Meromorphic function; algebraic curve; differential geometry |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-015-9151-5 |
| isbn_softcover | 978-90-481-5149-3 |
| isbn_ebook | 978-94-015-9151-5 |
| copyright | Springer Science+Business Media Dordrecht 1999 |
发表于 2025-3-21 19:50:07
