Weierstrass semigroups and nodal curves of type p, q

Knebl, H. and Kunz, E. and Waldi, R. (2011) Weierstrass semigroups and nodal curves of type p, q. JOURNAL OF ALGEBRA, 348 (1). pp. 315-335. ISSN 0021-8693,

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Abstract

We study plane curves of type p, q having only nodes as singularities. Every Weierstrass semigroup is the Weierstrass semigroup of such a curve at its place at infinity for properly chosen p, q. We construct plane curves of type p,q with explicitly given nodes and determine their Weierstrass semigroups. Many such semigroups are found. (C) 2011 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: NUMERICAL SEMIGROUPS; GAP SEQUENCES; EXISTENCE; POINTS; Weierstrass semigroups; Nodal curves of type p, q; Algebraic curves; Riemann surfaces
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Rolf Waldi
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 May 2020 12:30
Last Modified: 26 May 2020 12:30
URI: https://pred.uni-regensburg.de/id/eprint/19677

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