24 citations · 128 across the 26 of their papers we have counts for
4 papers · 1 filter
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…
Constructive -module Theory with \textsc{Singular}
Daniel Andres, Michael Brickenstein, Viktor Levandovskyy +2
We overview numerous algorithms in computational -module theory together with the theoretical background as well as the implementation in the computer algebra system \textsc{Sin…
Algorithms for Checking Rational Roots of -functions and their Applications
Viktor Levandovskyy, Jorge Martín-Morales
Bernstein-Sato polynomial of a hypersurface is an important object with numerous applications. It is known, that it is complicated to obtain it computationally, as a number of open…
Effective Methods for the Computation of Bernstein-Sato polynomials for Hypersurfaces and Affine Varieties
Daniel Andres, Viktor Levandovskyy, Jorge Martín-Morales
This paper is the widely extended version of the publication, appeared in Proceedings of ISSAC'2009 conference \citep*{ALM09}. We discuss more details on proofs, present new algori…