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cs.SC2024
On Hilbert-Poincaré series of affine semi-regular polynomial sequences and related Gröbner bases
Momonari Kudo, Kazuhiro Yokoyama
Gröbner bases are nowadays central tools for solving various problems in commutative algebra and algebraic geometry. A typical use of Gröbner bases is the multivariate polynomial s…
cs.SC2021
Polynomial XL: A Variant of the XL Algorithm Using Macaulay Matrices over Polynomial Rings
Hiroki Furue, Momonari Kudo
Solving a system of multivariate quadratic equations in variables over finite fields (the MQ problem) is one of the important problems in the theory of computer science. Th…