TY  - BOOK
AU  - Alvanos,Paraskevas
TI  - Riemann-Roch Spaces and Computation
SN  - 9783110426120
AV  - QA333 .A48 2014eb
U1  - 510 
PY  - 2015///]
CY  - Warsaw, Berlin : 
PB  - De Gruyter Open Poland, 
KW  - Mathematics
KW  - Riemann-Roch spaces, Diophantine equations, integral domains
KW  - Riemann-Roch-Satz
KW  - gnd
KW  - MATHEMATICS / General
KW  - bisacsh
N1  - 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
N2  - 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
UR  - https://doi.org/10.2478/9783110426120
UR  - https://www.degruyter.com/cover/covers/9783110426120.jpg
ER  -