New algorithms find minimal matroids of point-line configurations and yield irreducible decompositions of circuit varieties for the Fano, MacLane, affine plane, Pappus, and second 9_3 configurations.
Gr¨ obner bases and determinantal ideals
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CO 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Minimal matroids in dependency posets: algorithms and applications to computing irreducible decompositions of circuit varieties
New algorithms find minimal matroids of point-line configurations and yield irreducible decompositions of circuit varieties for the Fano, MacLane, affine plane, Pappus, and second 9_3 configurations.