Riemann-Roch Spaces and Computation

Paraskevas Alvanos

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Hardback

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English

De Gruyter
26 March 2015

Mathematics; Algebra; Integral calculus & equations; Numerical analysis; Geometry

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.

By: Paraskevas Alvanos
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm, Spine: 15mm
Weight: 520g
ISBN: 9783110426137
ISBN 10: 3110426137
Pages: 151
Publication Date: 26 March 2015
Recommended Age: College Graduate Student
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Paraskevas Alvanos, the1st Model and Pilot Hi-school of Thessaloniki, Greece