2 papers
math.AG2026
An algorithm for annihilator and Bernstein-Sato polynomial of a rational function
Manuel González-Villa, Edwin León-Cardenal, Viktor Levandovskyy +1
The singularity theory of rational functions, i.e., the quotient of two polynomials, has been investigated in the past two decades. The Bernstein-Sato polynomial of a rational func…
cs.SC2025
Modular Algorithms For Computing Gröbner Bases in Free Algebras
Clemens Hofstadler, Viktor Levandovskyy
In this work, we extend modular techniques for computing Gröbner bases involving rational coefficients to (two-sided) ideals in free algebras. We show that the infinite nature of…