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Non-trivial Linear Systems on Smooth Plane Curves

✍ Scribed by Marc Coppens; Takao Kato

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
624 KB
Volume
166
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

This author is related to the University at Leuven (Celestijnenlaan 200B B-3001 Leuven Belgium) as 2, This author represents his thanks to Katholieke Universiteit Leuven, Department Wiskunde for a Research Fellow. their kind hospitality during his stay and to the JSPS for financial support.

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Construction of Linear Systems on Hypere
Construction of Linear Systems on Hyperelliptic Curves
✍ T.G. Berry πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 448 KB

An algorithm for constructing a basis of a linear system L(D) on a hyperelliptic curve is described. Algorithms by Cantor and Chebychev for computing in the Jacobian of a hyperelliptic curve are derived as special cases. The final section describes Chebychev's application of his algorithm to element