Abstract
The Riemann-Roch theorem relates various numbers and invariants of a function field, by means of an equality that plays a central role in our whole theory: It allows us to obtain elements that satisfy given properties, to construct automorphisms or homomorphisms with given characteristics, etc. On the other hand, this equality introduces an arithmetic invariant that is intrinsic to any function field, namely its genus.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2006 Birkhäuser Boston
About this chapter
Cite this chapter
(2006). The Riemann-Roch Theorem. In: Topics in the Theory of Algebraic Function Fields. Mathematics: Theory & Applications. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4515-2_3
Download citation
DOI: https://doi.org/10.1007/0-8176-4515-2_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4480-2
Online ISBN: 978-0-8176-4515-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)