ASYMPTOTIC SYZYGIES OF STANLEY-REISNER RINGS OF ITERATED SUBDIVISIONS
| Autor(en): | Conca, Aldo Juhnke-Kubitzke, Martina Welker, Volkmar |
Stichwörter: | ALGEBRAS; BARYCENTRIC SUBDIVISIONS; Betti numbers; COHOMOLOGY; COMPLEXES; DIMENSION; Mathematics; Stanley-Reisner ring; subdivision; VARIETIES; VECTORS | Erscheinungsdatum: | 2018 | Herausgeber: | AMER MATHEMATICAL SOC | Journal: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | Volumen: | 370 | Ausgabe: | 3 | Startseite: | 1661 | Seitenende: | 1691 | Zusammenfassung: | Inspired by recent results of Ein, Lazarsfeld, Erman and Zhou on the non-vanishing of Betti numbers of high Veronese subrings, we describe the behavior of the Betti numbers of Stanley-Reisner rings associated with iterated barycentric or edgewise subdivisions of a given simplicial complex. Our results show that for a simplicial complex Delta of dimension d-1 and for 1 <= j <= d - 1 the number of 0's in the jth linear strand of the minimal free resolution of the rth barycentric or edgewise subdivision is bounded above only in terms of d and j (and independently of r). |
ISSN: | 00029947 | DOI: | 10.1090/tran/7149 |
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geprüft am 17.05.2024
