Multigraded Betti numbers of Veronese embeddings
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915853104054272 |
|---|---|
| author | Haase, Christian Zhang, Zongpu |
| author_facet | Haase, Christian Zhang, Zongpu |
| contents | In this paper, we study the multigraded Betti numbers of Veronese embeddings of projective spaces. Due to Hochster's formula, we interpret these multigraded Betti numbers in terms of the homology of certain simplicial complexes. By analyzing these simplicial complexes and applying Forman's discrete Morse theory, we derive vanishing and non-vanishing results for these multigraded Betti numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18994 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multigraded Betti numbers of Veronese embeddings Haase, Christian Zhang, Zongpu Commutative Algebra Algebraic Geometry Combinatorics 13D02 (Primary) 05E40 05E45 14M25 57Q70 (Secondary) In this paper, we study the multigraded Betti numbers of Veronese embeddings of projective spaces. Due to Hochster's formula, we interpret these multigraded Betti numbers in terms of the homology of certain simplicial complexes. By analyzing these simplicial complexes and applying Forman's discrete Morse theory, we derive vanishing and non-vanishing results for these multigraded Betti numbers. |
| title | Multigraded Betti numbers of Veronese embeddings |
| topic | Commutative Algebra Algebraic Geometry Combinatorics 13D02 (Primary) 05E40 05E45 14M25 57Q70 (Secondary) |
| url | https://arxiv.org/abs/2511.18994 |