Riemann-Roch spaces and computation / / Paraskevas Alvanos.
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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| Place / Publishing House: | Warsaw, [Poland] ;, Berlin, [Germany] : : De Gruyter Open,, 2014. ©2014 |
| Year of Publication: | 2015 2014 |
| Edition: | 1st ed. |
| Language: | English |
| Physical Description: | 1 online resource (151 pages) |
| Notes: | Bibliographic Level Mode of Issuance: Monograph |
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| 100 | 1 | |a Alvanos, Paraskevas, |e author. | |
| 245 | 1 | 0 | |a Riemann-Roch spaces and computation / |c Paraskevas Alvanos. |
| 250 | |a 1st ed. | ||
| 260 | |b De Gruyter |c 2015 | ||
| 264 | 1 | |a Warsaw, [Poland] ; |a Berlin, [Germany] : |b De Gruyter Open, |c 2014. | |
| 264 | 4 | |c ©2014 | |
| 300 | |a 1 online resource (151 pages) | ||
| 336 | |a text |b txt | ||
| 337 | |a computer |b c | ||
| 338 | |a online resource |b cr | ||
| 500 | |a Bibliographic Level Mode of Issuance: Monograph | ||
| 546 | |a English | ||
| 540 | |a This eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license: |u https://creativecommons.org/licenses/by-nc-nd/3.0 |u https://www.degruyter.com/dg/page/open-access-policy | ||
| 520 | |a 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. | ||
| 505 | 0 | 0 | |t Front matter -- |t Contents -- |t Preface -- |t Part I: Riemann-Roch Spaces -- |t 1 Elements of Algebra -- |t 2 Function Fields and Curves -- |t 3 Riemann-Roch Spaces -- |t 4 Integral Domains -- |t Part II: Computation -- |t 5 Computing Integral Bases -- |t 6 Computing Riemann-Roch Spaces -- |t 7 Computing Resultant and Norm Form Equations -- |t 8 Computing Integral Points on Rational Curves -- |t Appendices -- |t Bibliography -- |t Index -- |t Index of Algorithms |
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | |a Description based on online resource; title from PDF title page (ebrary, viewed May 28, 2015). | ||
| 650 | 0 | |a Riemann surfaces. | |
| 653 | |a Riemann-Roch spaces, Diophantine equations, integral domains. | ||
| 776 | |z 3-11-042613-7 | ||
| 906 | |a BOOK | ||
| ADM | |b 2024-07-17 06:27:08 Europe/Vienna |f system |c marc21 |a 2015-04-19 08:56:58 Europe/Vienna |g false | ||
| AVE | |i DOAB Directory of Open Access Books |P DOAB Directory of Open Access Books |x https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5338647260004498&Force_direct=true |Z 5338647260004498 |b Available |8 5338647260004498 | ||