LEFSCHETZ PROPERTIES OF BALANCED 3-POLYTOPES
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Cook, II, David | |
dc.contributor.author | Juhnke-Kubitzke, Martina | |
dc.contributor.author | Murai, Satoshi | |
dc.contributor.author | Nevo, Eran | |
dc.date.accessioned | 2021-12-23T16:19:25Z | - |
dc.date.available | 2021-12-23T16:19:25Z | - |
dc.date.issued | 2018 | |
dc.identifier.issn | 00357596 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/13137 | - |
dc.description.abstract | In this paper, we study Lefschetz properties of Artinian reductions of Stanley-Reisner rings of balanced simplicial 3-polytopes. A (d - 1)-dimensional simplicial complex is said to be balanced if its graph is d-colorable. If a simplicial complex is balanced, then its Stanley-Reisner ring has a special system of parameters induced by the coloring. We prove that the Artinian reduction of the Stanley-Reisner ring of a balanced simplicial 3-polytope with respect to this special system of parameters has the strong Lefschetz property if the characteristic of the base field is not two or three. Moreover, we characterize (2, 1)-balanced simplicial polytopes, i.e., polytopes with exactly one red vertex and two blue vertices in each facet, such that an analogous property holds. In fact, we show that this is the case if and only if the induced graph on the blue vertices satisfies a Lamantype combinatorial condition. | |
dc.description.sponsorship | German Research CouncilGerman Research Foundation (DFG) [DFG-GRK 1916]; Israel Science FoundationIsrael Science Foundation [ISF-1695/15]; [KAKENHI16K05102]; The research of the second author was partially supported by the German Research Council, DFG-GRK 1916. The research of the third author was partially supported by KAKENHI16K05102. The research of the fourth author was partially supported by the Israel Science Foundation, grant No. ISF-1695/15. | |
dc.language.iso | en | |
dc.publisher | ROCKY MT MATH CONSORTIUM | |
dc.relation.ispartof | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | |
dc.subject | balanced complexes | |
dc.subject | Laman graphs | |
dc.subject | Lefschetz properties | |
dc.subject | Mathematics | |
dc.subject | PLANE | |
dc.subject | simplicial polytopes | |
dc.subject | Stanley-Riesner rings | |
dc.subject | TRIANGULATIONS | |
dc.title | LEFSCHETZ PROPERTIES OF BALANCED 3-POLYTOPES | |
dc.type | journal article | |
dc.identifier.doi | 10.1216/RMJ-2018-48-3-789 | |
dc.identifier.isi | ISI:000440557100004 | |
dc.description.volume | 48 | |
dc.description.issue | 3 | |
dc.description.startpage | 769 | |
dc.description.endpage | 790 | |
dc.identifier.eissn | 19453795 | |
dc.publisher.place | ARIZ STATE UNIV, DEPT MATH, TEMPE, AZ 85287-1904 USA | |
dcterms.isPartOf.abbreviation | Rocky Mt. J. Math. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | JuMa420 | - |
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geprüft am 06.06.2024