Bipartite Determinantal Ideals and concurrent vertex maps
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913435946582016 |
|---|---|
| author | Li, Li |
| author_facet | Li, Li |
| contents | Bipartite determinantal ideals are introduced by Illian and the author as a vast generalization of the classical determinantal ideals intensively studied in commutative algebra, algebraic geometry, representation theory and combinatorics. We introduce a combinatorial model called concurrent vertex maps to describe the Stanley-Reisner complex of the initial ideal of any bipartite determinantal ideal, and study properties and applications of this model including vertex decomposability, shelling orders, formulas of the Hilbert series and $h$-polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_01947 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bipartite Determinantal Ideals and concurrent vertex maps Li, Li Commutative Algebra Combinatorics Primary 14M12, Secondary 05E40, 05E45, 13C40, 13F55, 13H10 Bipartite determinantal ideals are introduced by Illian and the author as a vast generalization of the classical determinantal ideals intensively studied in commutative algebra, algebraic geometry, representation theory and combinatorics. We introduce a combinatorial model called concurrent vertex maps to describe the Stanley-Reisner complex of the initial ideal of any bipartite determinantal ideal, and study properties and applications of this model including vertex decomposability, shelling orders, formulas of the Hilbert series and $h$-polynomials. |
| title | Bipartite Determinantal Ideals and concurrent vertex maps |
| topic | Commutative Algebra Combinatorics Primary 14M12, Secondary 05E40, 05E45, 13C40, 13F55, 13H10 |
| url | https://arxiv.org/abs/2306.01947 |