JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 3, Pages 445 - 454
(December 2006)
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REALIZING NUMERICAL SEMIGROUPS AS WEIERSTRASS SEMIGROUPS: A COMPUTATIONAL APPROACH
Francisco L. R. Pimentel (Brasil) and Gilvan Oliveira (Brasil)
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Abstract: We propose a method for realizing numerical semigroups as Weierstrass semigroups. Given a specific numerical semigroup as input, if it is a Weierstrass semigroup, we obtain as the output the explicit equations of a canonically embedded nonsingular curve whose Weierstrass semigroup at a distinct point is this numerical semigroup. To illustrate the method we realize the numerical semigroup as a Weierstrass semigroup. |
Keywords and phrases: Weierstrass semigroups. |
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