Classifying weak Fano toric varieties of Picard rank $3$
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909630551031808 |
|---|---|
| author | Hu, Zhengning Joshi, Rohan |
| author_facet | Hu, Zhengning Joshi, Rohan |
| contents | We provide a systematic method to classify all smooth weak Fano toric varieties of Picard rank $3$ in any dimension using Macaulay2, and describe the classification explicitly in dimensions $3$ and $4$. There are $28$ and $114$ isomorphism classes of rank $3$ weak Fano toric threefolds and fourfolds, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00715 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classifying weak Fano toric varieties of Picard rank $3$ Hu, Zhengning Joshi, Rohan Algebraic Geometry 14M25, 14-04 We provide a systematic method to classify all smooth weak Fano toric varieties of Picard rank $3$ in any dimension using Macaulay2, and describe the classification explicitly in dimensions $3$ and $4$. There are $28$ and $114$ isomorphism classes of rank $3$ weak Fano toric threefolds and fourfolds, respectively. |
| title | Classifying weak Fano toric varieties of Picard rank $3$ |
| topic | Algebraic Geometry 14M25, 14-04 |
| url | https://arxiv.org/abs/2506.00715 |