×

zbMATH — the first resource for mathematics

Computing the Jacobian of a hyperelliptic curve. (English) Zbl 0613.14022
In this paper we present algorithms, suitable for computer use, for computation in the Jacobian of a hyperelliptic curve. We present a reduction algorithm which is asymptotically faster than that of Gauss when the genus \(g\) is very large.

MSC:
14H40 Jacobians, Prym varieties
14-04 Software, source code, etc. for problems pertaining to algebraic geometry
12-04 Software, source code, etc. for problems pertaining to field theory
14H05 Algebraic functions and function fields in algebraic geometry
11R58 Arithmetic theory of algebraic function fields
14H45 Special algebraic curves and curves of low genus
PDF BibTeX XML Cite
Full Text: DOI