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math.AC2023★ 3 cited
-adic algorithm for bivariate Gröbner bases
Eric Schost, Catherine St-Pierre
We present a -adic algorithm to recover the lexicographic Gröbner basis of an ideal in with a generating set in , with a complexity…
math.AC2023★ 1 cited
Newton iteration for lexicographic Gröbner bases in two variables
Éric Schost, Catherine St-Pierre
We present an -adic Newton iteration with quadratic convergence for lexicographic Gröbner basis of zero dimensional ideals in two variables. We rely on a structural result about…