Riemann-Roch Spaces and Computation
The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex analysis and algebraic geometry. On one hand, the theorem connects the Riemann surface with its topolo...
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| Tác giả chính: | |
|---|---|
| Định dạng: | Online |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
De Gruyter
2021
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| Những chủ đề: | |
| Truy cập trực tuyến: | 17360 |
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| _version_ | 1869520080889446400 |
|---|---|
| author | Alvanos, Paraskevas |
| author_browse | Alvanos, Paraskevas |
| author_facet | Alvanos, Paraskevas |
| author_sort | Alvanos, Paraskevas |
| collection | Directory of Open Access Books |
| description | The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex analysis and algebraic geometry. On one hand, the theorem connects the Riemann surface with its topological genus, and on the other it allows us to compute the algebraic function field spaces. In the first part of this book, algebraic structures and some of their properties are presented. The second part shows efficient algorithms and examples connected to Riemann-Roch spaces. What is important, a variety of examples with codes of algorithms are given in the book, covering the majority of the cases. |
| format | Online |
| id | doab-20.500.12854ir-58478 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| publisherStr | De Gruyter |
| record_format | ojs |
| spelling | doab-20.500.12854ir-584782023-12-20T18:40:34Z Riemann-Roch Spaces and Computation Alvanos, Paraskevas QA1-939 Diophantine equations Riemann-Roch spaces integral domains bic Book Industry Communication::P Mathematics & science The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex analysis and algebraic geometry. On one hand, the theorem connects the Riemann surface with its topological genus, and on the other it allows us to compute the algebraic function field spaces. In the first part of this book, algebraic structures and some of their properties are presented. The second part shows efficient algorithms and examples connected to Riemann-Roch spaces. What is important, a variety of examples with codes of algorithms are given in the book, covering the majority of the cases. 2021-02-12T02:18:21Z 2021-02-12T02:18:21Z 2015-08-11 08:43:42 2015 book 17360 9783110439489 9783110426120 https://directory.doabooks.org/handle/20.500.12854/58478 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://doi.org/10.2478/9783110426120 De Gruyter 10.2478/9783110426120 10.2478/9783110426120 af2fbfcc-ee87-43d8-a035-afb9d7eef6a5 9783110439489 9783110426120 151 open access |
| spellingShingle | QA1-939 Diophantine equations Riemann-Roch spaces integral domains bic Book Industry Communication::P Mathematics & science Alvanos, Paraskevas Riemann-Roch Spaces and Computation |
| title | Riemann-Roch Spaces and Computation |
| title_full | Riemann-Roch Spaces and Computation |
| title_fullStr | Riemann-Roch Spaces and Computation |
| title_full_unstemmed | Riemann-Roch Spaces and Computation |
| title_short | Riemann-Roch Spaces and Computation |
| title_sort | riemann roch spaces and computation |
| topic | QA1-939 Diophantine equations Riemann-Roch spaces integral domains bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Diophantine equations Riemann-Roch spaces integral domains bic Book Industry Communication::P Mathematics & science |
| url | 17360 |
| work_keys_str_mv | AT alvanosparaskevas riemannrochspacesandcomputation |