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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Table of 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