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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Detalles Bibliográficos
Otros Autores: Alvanos, Paraskevas, author (author)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Warsaw, [Poland] ; Berlin, [Germany] : De Gruyter 2015
2014.
Edición:1st ed
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009427725306719
Tabla de Contenidos:
  • Front matter
  • 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