We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Resolutions and Betti Numbers of Polynomial Modules via Involutive Bases.
- Authors
Albert, Mario; Fetzer, Matthias; Seiler, Werner M.
- Abstract
We describe a novel approach to the computation of free resolutions and of Betti numbers of polynomial modules based on a combination of the theory of involutive bases with algebraic discrete Morse theory. This approach allows for the first time to compute Betti numbers (even single ones) without determining a whole resolution which in many cases drastically reduces the computation time. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Subjects
FREE resolutions (Algebra); BETTI numbers; POLYNOMIALS; MORSE theory; HOMOLOGICAL algebra
- Publication
PAMM: Proceedings in Applied Mathematics & Mechanics, 2016, Vol 16, Issue 1, p3
- ISSN
1617-7061
- Publication type
Article
- DOI
10.1002/pamm.201610002