Meromorphic Functions and Projective Curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1999
|
| Schriftenreihe: | Mathematics and Its Applications
464 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (VIII, 208 p) |
| ISBN: | 9789401591515 9789048151493 |
| DOI: | 10.1007/978-94-015-9151-5 |
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| 490 | 0 | |a Mathematics and Its Applications |v 464 | |
| 500 | |a 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 | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Yang, Kichoon |
| author_facet | Yang, Kichoon |
| author_role | aut |
| author_sort | Yang, Kichoon |
| author_variant | k y ky |
| building | Verbundindex |
| bvnumber | BV042424117 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879623005 (DE-599)BVBBV042424117 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-9151-5 |
| format | Electronic eBook |
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| id | DE-604.BV042424117 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401591515 9789048151493 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859534 |
| oclc_num | 879623005 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (VIII, 208 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer Netherlands |
| record_format | marc |
| series2 | Mathematics and Its Applications |
| spelling | Yang, Kichoon Verfasser aut Meromorphic Functions and Projective Curves by Kichoon Yang Dordrecht Springer Netherlands 1999 1 Online-Ressource (VIII, 208 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 464 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 Mathematics Geometry, algebraic Functions of complex variables Global differential geometry Algebraic Geometry Functions of a Complex Variable Differential Geometry Mathematik https://doi.org/10.1007/978-94-015-9151-5 Verlag Volltext |
| spellingShingle | Yang, Kichoon Meromorphic Functions and Projective Curves Mathematics Geometry, algebraic Functions of complex variables Global differential geometry Algebraic Geometry Functions of a Complex Variable Differential Geometry Mathematik |
| title | Meromorphic Functions and Projective Curves |
| title_auth | Meromorphic Functions and Projective Curves |
| title_exact_search | Meromorphic Functions and Projective Curves |
| title_full | Meromorphic Functions and Projective Curves by Kichoon Yang |
| title_fullStr | Meromorphic Functions and Projective Curves by Kichoon Yang |
| title_full_unstemmed | Meromorphic Functions and Projective Curves by Kichoon Yang |
| title_short | Meromorphic Functions and Projective Curves |
| title_sort | meromorphic functions and projective curves |
| topic | Mathematics Geometry, algebraic Functions of complex variables Global differential geometry Algebraic Geometry Functions of a Complex Variable Differential Geometry Mathematik |
| topic_facet | Mathematics Geometry, algebraic Functions of complex variables Global differential geometry Algebraic Geometry Functions of a Complex Variable Differential Geometry Mathematik |
| url | https://doi.org/10.1007/978-94-015-9151-5 |
| work_keys_str_mv | AT yangkichoon meromorphicfunctionsandprojectivecurves |