Hokkaido Mathematical Journal
- Hokkaido Math. J.
- Volume 44, Number 3 (2015), 341-364.
Bounds for the Betti numbers of successive stellar subdivisions of a simplex
Janko BÖHM and Stavros Argyrios PAPADAKIS
Abstract
We give a bound for the Betti numbers of the Stanley-Reisner ring of a stellar subdivision of a Gorenstein* simplicial complex by applying unprojection theory. From this we derive a bound for the Betti numbers of iterated stellar subdivisions of the boundary complex of a simplex. The bound depends only on the number of subdivisions, and we construct examples which prove that it is sharp.
Article information
Source
Hokkaido Math. J., Volume 44, Number 3 (2015), 341-364.
Dates
First available in Project Euclid: 1 August 2016
Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1470053368
Digital Object Identifier
doi:10.14492/hokmj/1470053368
Mathematical Reviews number (MathSciNet)
MR3532113
Zentralblatt MATH identifier
1360.13053
Subjects
Primary: 13F55: Stanley-Reisner face rings; simplicial complexes [See also 55U10]
Secondary: 13D02: Syzygies, resolutions, complexes 13P20: Computational homological algebra [See also 13Dxx] 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05]
Keywords
Stanley-Reisner rings Betti numbers Resolutions Stellar subdivisions Simplices
Citation
BÖHM, Janko; PAPADAKIS, Stavros Argyrios. Bounds for the Betti numbers of successive stellar subdivisions of a simplex. Hokkaido Math. J. 44 (2015), no. 3, 341--364. doi:10.14492/hokmj/1470053368. https://projecteuclid.org/euclid.hokmj/1470053368
