Curves over a Finite Field

Serguei A. Stepanov
Additional contact information
Serguei A. Stepanov: Bilkent University

Chapter Chapter 5 in Codes on Algebraic Curves, 1999, pp 103-142 from Springer

Abstract: Abstract In Chapter 4 we have assumed that the ground fieldkis algebraically closed. However, if we are interested in the consideration of arithmetic properties of algebraic varieties, we must develop the corresponding theory for the case of non-closed fields such as ℚ or F q .For example, in applying algebraic geometry to coding theory, one should study curves defined over F q and their points with coordinates in F q (such points are called F q -rational).

Keywords: Finite Field; Galois Group; Prime Divisor; Finite Extension; Divisor Class (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-4785-3_5

Ordering information: This item can be ordered from
http://www.springer.com/9781461547853

DOI: 10.1007/978-1-4615-4785-3_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().