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Linear systems on singular curves

✍ Scribed by Cícero F. Carvalho

Publisher
Springer
Year
1999
Tongue
English
Weight
74 KB
Volume
98
Category
Article
ISSN
0025-2611

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📜 SIMILAR VOLUMES

Singular bielliptic curves and special l
Singular bielliptic curves and special linear systems
✍ E. Ballico 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 126 KB

Here we study the Brill-Noether theory of special linear systems on a singular Gorenstein bielliptic curve Y . Any such linear system is associated to a spanned rank 1 torsion-free sheaf, L. We obtain the same results as in the case of a smooth curve if either L ∈ Pic(Y ) or Y has only ordinary node

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✍ T.G. Berry 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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