Riemann-Roch Spaces and Computation

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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Main Author: Alvanos, Paraskevas (auth)
Format: Book Chapter
Published: De Gruyter 2015
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Online Access:Get Fullteks
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020 |a 9783110426120 
020 |a 9783110439489 
020 |a 9783110426120 
024 7 |a 10.2478/9783110426120  |c doi 
041 0 |a English 
042 |a dc 
100 1 |a Alvanos, Paraskevas  |4 auth 
245 1 0 |a Riemann-Roch Spaces and Computation 
260 |b De Gruyter  |c 2015 
300 |a 1 electronic resource (151 p.) 
506 0 |a Open Access  |2 star  |f Unrestricted online access 
520 |a 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. 
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546 |a English 
653 |a Diophantine equations 
653 |a Riemann-Roch spaces 
653 |a integral domains 
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856 4 0 |a www.oapen.org  |u https://directory.doabooks.org/handle/20.500.12854/58478  |7 0  |z DOAB: description of the publication