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math.AC2023
Learning to Compute Gröbner Bases
Hiroshi Kera, Yuki Ishihara, Yuta Kambe +2
Solving a polynomial system, or computing an associated Gröbner basis, has been a fundamental task in computational algebra. However, it is also known for its notorious doubly expo…
math.AC2023
Analysis of computing Gröbner bases and Gröbner degenerations via theory of signatures
Yuta Kambe
The signatures of polynomials were originally introduced by Faugère for the efficient computation of Gröbner bases [Fau02], and redefined by Arri-Perry [AP11] as the standard monom…