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Chinese Remainder Theorem for bivariate lexicographic Gröbner bases

Published: 24 July 2023 Publication History

Abstract

This article proposes an algorithm that merges pairwise coprime bivariate lexicographic Gröbner bases (lexGb) and an algorithm that splits a lexGb into smaller lexGbs without factorization, in a Chinese Remainder Theorem fashion.

References

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Xavier Dahan. 2009. Size of coefficients of lexicographical Gröbner bases. In Proceedings of ISSAC’09 (Seoul, Korea). ACM, New York, NY, USA, 117–126.
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Xavier Dahan. 2022. Lexicographic Gröbner bases of bivariate polynomials modulo a univariate one. Journal of Symbolic Computation 110 (2022), 24–65.
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ISSAC '23: Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation
July 2023
567 pages
ISBN:9798400700392
DOI:10.1145/3597066
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 24 July 2023

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Author Tags

  1. Bivariate
  2. Chinese Remainder Theorem
  3. Gröbner basis
  4. lexicographic order

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  • Research-article
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  • JSPS KAKENHI

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ISSAC 2023

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Overall Acceptance Rate 395 of 838 submissions, 47%

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