Alvanos Riemann-Roch Spaces and Computation

1. Auflage 2016
ISBN: 978-3-11-043948-9
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)

E-Book, Englisch, 151 Seiten

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.

Zielgruppe

Graduating students interested in Riemann-Roch spaces, Rational Curves, Integral Domains and Diophantine Equations

Autoren/Hrsg.

Alvanos, Paraskevas

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Über Autor(innen)

Paraskevas Alvanos, Model Experimental High School of Thessaloniki, Greece