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Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve - MaRDI portal

Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve (Q1587232)

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scientific article; zbMATH DE number 1532924
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English
Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve
scientific article; zbMATH DE number 1532924

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    Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve (English)
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    20 February 2001
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    This is a more complete version, including proofs and examples, of a conference proceedings article by the authors [\textit{R. Matsumoto} and \textit{S. Miura} in: Applied algebra, algebraic algorithms and error correcting codes, 13th Int. Symp., AAECC-13, Honolulu 1999, Proc. Lect. Notes Comput. Sci. 1719, 271-281 (1999; Zbl 0958.14041)].
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    affine algebraic curve
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    place at infinity
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    ideal quotient
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    Gröbner basis
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    algebraic geometry code
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    Weierstraß semigroup
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    Riemann-Roch space
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