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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Alvanos, Paraskevas, author. Riemann-Roch spaces and computation / Paraskevas Alvanos. 1st ed. De Gruyter 2015 Warsaw, [Poland] ; Berlin, [Germany] : De Gruyter Open, 2014. ©2014 1 online resource (151 pages) text txt computer c online resource cr Bibliographic Level Mode of Issuance: Monograph English 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: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy 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. Front matter -- Contents -- Preface -- Part I: Riemann-Roch Spaces -- 1 Elements of Algebra -- 2 Function Fields and Curves -- 3 Riemann-Roch Spaces -- 4 Integral Domains -- Part II: Computation -- 5 Computing Integral Bases -- 6 Computing Riemann-Roch Spaces -- 7 Computing Resultant and Norm Form Equations -- 8 Computing Integral Points on Rational Curves -- Appendices -- Bibliography -- Index -- Index of Algorithms Includes bibliographical references and indexes. Description based on online resource; title from PDF title page (ebrary, viewed May 28, 2015). Riemann surfaces. Riemann-Roch spaces, Diophantine equations, integral domains. 3-11-042613-7 |
| language |
English |
| format |
eBook |
| author |
Alvanos, Paraskevas, |
| spellingShingle |
Alvanos, Paraskevas, Riemann-Roch spaces and computation / Front matter -- Contents -- Preface -- Part I: Riemann-Roch Spaces -- 1 Elements of Algebra -- 2 Function Fields and Curves -- 3 Riemann-Roch Spaces -- 4 Integral Domains -- Part II: Computation -- 5 Computing Integral Bases -- 6 Computing Riemann-Roch Spaces -- 7 Computing Resultant and Norm Form Equations -- 8 Computing Integral Points on Rational Curves -- Appendices -- Bibliography -- Index -- Index of Algorithms |
| author_facet |
Alvanos, Paraskevas, |
| author_variant |
p a pa |
| author_role |
VerfasserIn |
| author_sort |
Alvanos, Paraskevas, |
| title |
Riemann-Roch spaces and computation / |
| title_full |
Riemann-Roch spaces and computation / Paraskevas Alvanos. |
| title_fullStr |
Riemann-Roch spaces and computation / Paraskevas Alvanos. |
| title_full_unstemmed |
Riemann-Roch spaces and computation / Paraskevas Alvanos. |
| title_auth |
Riemann-Roch spaces and computation / |
| title_alt |
Front matter -- Contents -- Preface -- Part I: Riemann-Roch Spaces -- 1 Elements of Algebra -- 2 Function Fields and Curves -- 3 Riemann-Roch Spaces -- 4 Integral Domains -- Part II: Computation -- 5 Computing Integral Bases -- 6 Computing Riemann-Roch Spaces -- 7 Computing Resultant and Norm Form Equations -- 8 Computing Integral Points on Rational Curves -- Appendices -- Bibliography -- Index -- Index of Algorithms |
| title_new |
Riemann-Roch spaces and computation / |
| title_sort |
riemann-roch spaces and computation / |
| publisher |
De Gruyter De Gruyter Open, |
| publishDate |
2015 2014 |
| physical |
1 online resource (151 pages) |
| edition |
1st ed. |
| contents |
Front matter -- Contents -- Preface -- Part I: Riemann-Roch Spaces -- 1 Elements of Algebra -- 2 Function Fields and Curves -- 3 Riemann-Roch Spaces -- 4 Integral Domains -- Part II: Computation -- 5 Computing Integral Bases -- 6 Computing Riemann-Roch Spaces -- 7 Computing Resultant and Norm Form Equations -- 8 Computing Integral Points on Rational Curves -- Appendices -- Bibliography -- Index -- Index of Algorithms |
| isbn |
3-11-043948-4 3-11-042612-9 3-11-042613-7 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA333 |
| callnumber-sort |
QA 3333 A48 42014 |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis 516 - Geometry |
| dewey-full |
515.93 516.35 |
| dewey-sort |
3515.93 |
| dewey-raw |
515.93 516.35 |
| dewey-search |
515.93 516.35 |
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