TY  - BOOK
AU  - Alvanos, Paraskevas
AB  - 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.
DO  - 10.2478/9783110426120
ID  - OAPEN ID: 17360
KW  - Diophantine equations
KW  - Riemann-Roch spaces
KW  - integral domains
L1  - https://doi.org/10.2478/9783110426120
LA  - English
LK  - https://directory.doabooks.org/handle/20.500.12854/58478
PB  - De Gruyter
PY  - 2015
SN  - 9783110439489
SN  - 9783110426120
TI  - Riemann-Roch Spaces and Computationnull
ER  - 
