On the Free Resolution Induced by a Pommaret Basis
|
Co-author(s): Mario Albert, Matthias Fetzer and Eduardo Saenz-de-Cabezon |
Reference: Journal of Symbolic Computation, 68/2 (2015) 4-26 |
Description: We combine the free resolution induced by a Pommaret basis with a construction
by Sködberg using discrete Morse theory. This combination leads to a
closed form for the resolution of the resolution. Furthermore, this approach
allows us to determine the Betti numbers of a polynomial module without
computing a resolution. Besides the theory, we describe an implementation in
CoCoA and discuss some benchmarks. In particular for the computation of Betti
numbers, our new approach seems to outperform other implementations. |
PDF File: (447 kB)
|
Home,
Last update:
Thu May 27 10:16:22 2021
|