Symmetric Grassmann Formulas: Monotone Dimension-Defect Hierarchies HA9B7PD0YV
| URI | m2://res/HA9B7PD0YV |
|---|---|
| Kind | preprint |
| Creators | Masoud Gharahi, Diego Ponterio |
| Date | 2026-10-05 |
| MSC | 05-XX, 94-XX, 16-XX |
| Subjects | arxiv math.CO, arxiv cs.GT, arxiv cs.IT, arxiv math.IT, arxiv math.RA |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-05 |
| Ids | arXiv 2610.06739, zbl_id 903199260 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Dimension defect | definition | definition 16 | arxiv |
| Equality in the dual defect bounds | statement | corollary 36 | arxiv |
| Common-core rigidity | statement | theorem 26 | arxiv |
| Symmetrized Kinser slack | statement | theorem 40 | arxiv |
| 46KBRN0RW9 | example | example 4 | arxiv |
| Dual defect hierarchy | statement | theorem 33 | arxiv |
| Exact gap formulas | statement | theorem 25 | arxiv |
| Geometric decomposition of the Kinser slack | statement | theorem 37 | arxiv |
| Direct-sum criterion | statement | corollary 21 | arxiv |
| 7E6446H27K | statement | proposition 46 | arxiv |
| Weighted Grassmann-type formula | statement | theorem 6 | arxiv |
| Kinser rigidity for vanishing defect curvature | statement | corollary 43 | arxiv |
| Defect bounds | statement | corollary 20 | arxiv |
| Monotonicity of the graded defects | statement | theorem 19 | arxiv |
| 9ZBTDM0BG5 | example | example 7 | arxiv |
| Quotient intersections and vanishing curvature | statement | corollary 24 | arxiv |
| GPF1G8Z4X3 | statement | theorem 11 | arxiv |
| HTRQA3W3K1 | example | example 31 | arxiv |
| Dual symmetric Grassmann-type formula | statement | theorem 9 | arxiv |
| KY9ENV2PFX | statement | proposition 23 | arxiv |
| Equality in the Kinser inequality | statement | corollary 38 | arxiv |
| M6D00RXBNE | example | example 5 | arxiv |
| Exact dual gap formulas | statement | corollary 35 | arxiv |
| Average rank profile | definition | definition 28 | arxiv |
| Dual defect bounds | statement | corollary 34 | arxiv |
| Shapley--Grassmann correspondence | statement | proposition 13 | arxiv |
| Average-rank representation | statement | theorem 29 | arxiv |
| Dual dimension defect | definition | definition 32 | arxiv |
| S1WT1BC464 | example | example 15 | arxiv |
| Ordered Grassmann expansion | statement | lemma 1 | arxiv |
| TVKZ4GN403 | example | example 45 | arxiv |
| Symmetric Grassmann-type formula | statement | theorem 2 | arxiv |
| Conditioned Kinser representation of the defect gaps | statement | theorem 42 | arxiv |
| Exact defect decomposition | statement | corollary 17 | arxiv |
Catalogue records
- arxiv: 2610.06739 (work)
- arxiv_text: 2610.06739 (work)
- zbmath_search: 903199260 (work)