Riemann-Roch Spaces and Computation /
Alvanos, Paraskevas,
Riemann-Roch Spaces and Computation / Paraskevas Alvanos. - Warsaw ; Berlin : De Gruyter Open Poland, [2015] ©2015 - 1 online resource
Frontmatter -- 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
Open Access https://purl.org/coar/access_right/c_abf2
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.
Mode of access: Internet via World Wide Web.
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:
In English.
9783110426120
10.2478/9783110426120 doi
Mathematics.
Riemann-Roch spaces, Diophantine equations, integral domains.
Riemann-Roch-Satz
MATHEMATICS / General.
QA333 / .A48 2014eb
510
Riemann-Roch Spaces and Computation / Paraskevas Alvanos. - Warsaw ; Berlin : De Gruyter Open Poland, [2015] ©2015 - 1 online resource
Frontmatter -- 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
Open Access https://purl.org/coar/access_right/c_abf2
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.
Mode of access: Internet via World Wide Web.
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:
In English.
9783110426120
10.2478/9783110426120 doi
Mathematics.
Riemann-Roch spaces, Diophantine equations, integral domains.
Riemann-Roch-Satz
MATHEMATICS / General.
QA333 / .A48 2014eb
510