TY  - JOUR
A1  - Engström, Alexander
A1  - Sanyal, Raman
A1  - Stump, Christian
T1  - Standard complexes of matroids and lattice paths
T2  - Vietnam journal of mathematics
N2  - Motivated by Gröbner basis theory for finite point configurations, we define and study the class of standard complexes associated to a matroid. Standard complexes are certain subcomplexes of the independence complex that are invariant under matroid duality. For the lexicographic term order, the standard complexes satisfy a deletion-contraction-type recurrence. We explicitly determine the lexicographic standard complexes for lattice path matroids using classical bijective combinatorics.
KW  - Standard monomials
KW  - Simplicial complexes
KW  - Lattice path matroids
Y1  - 2022
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/69582
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-695824
SN  - 2305-2228
N1  - Supported by DFG grant STU 563/4-1 “Noncrossing phenomena in Algebra and Geometry”.
N1  - Open Access funding enabled and organized by Projekt DEAL.
VL  - 50
IS  - 3
SP  - 763
EP  - 779
PB  - Springer
CY  - Singapore
ER  -