Finding a Basis of a Linear System with Pairwise Distinct Discrete Valuations on an Algebraic Curve
Copyright policy )Finding a Basis of a Linear System with Pairwise Distinct Discrete Valuations on an Algebraic Curve
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)].
Computational aspects of algebraic curves, Algebra and Number Theory, affine algebraic curve, ideal quotient, Riemann surfaces; Weierstrass points; gap sequences, Valuations and their generalizations for commutative rings, Weierstraß semigroup, Computational Mathematics, place at infinity, Riemann-Roch space, Divisors, linear systems, invertible sheaves, Gröbner basis, Geometric methods (including applications of algebraic geometry) applied to coding theory, algebraic geometry code
Computational aspects of algebraic curves, Algebra and Number Theory, affine algebraic curve, ideal quotient, Riemann surfaces; Weierstrass points; gap sequences, Valuations and their generalizations for commutative rings, Weierstraß semigroup, Computational Mathematics, place at infinity, Riemann-Roch space, Divisors, linear systems, invertible sheaves, Gröbner basis, Geometric methods (including applications of algebraic geometry) applied to coding theory, algebraic geometry code
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