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math.AG2024
Separated Variables on Plane Algebraic Curves
Manfred Buchacher
We investigate the problem of deciding whether the restriction of a rational function to the curve associated with an irreducible polynomial $p\in\mathbb{K}[x…
cs.SC2024
On the Problem of Separating Variables in Multivariate Polynomial Ideals
Manfred Buchacher, Manuel Kauers
For a given ideal I in K[x_1,...,x_n,y_1,...,y_m] in a polynomial ring with n+m variables, we want to find all elements that can be written as f-g for some f in K[x_1,...,x_n] and…
math.AC2024
Separating Variables in Bivariate Polynomial Ideals: the Local Case
Manfred Buchacher
We present a semi-algorithm which for any irreducible finds all elements of that are of the form for some $q\in\mathbb{K}…