Toric splittings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913561737953280 |
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| author | Katsabekis, Anargyros Thoma, Apostolos |
| author_facet | Katsabekis, Anargyros Thoma, Apostolos |
| contents | The toric ideal $I_A$ is splittable if it has a toric splitting; namely, if there exist toric ideals $I_{A_1}, I_{A_2}$ such that $I_A=I_{A_1}+I_{A_2}$ and $I_{A_i}\not =I_{A}$ for all $1 \leq i \leq 2$. We provide a necessary and sufficient condition for a toric ideal to be splittable in terms of $A$, and we apply it to prove or disprove that certain classes of toric ideals are splittable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18467 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toric splittings Katsabekis, Anargyros Thoma, Apostolos Commutative Algebra 13F65, 14M25, 05C25, 05E40 The toric ideal $I_A$ is splittable if it has a toric splitting; namely, if there exist toric ideals $I_{A_1}, I_{A_2}$ such that $I_A=I_{A_1}+I_{A_2}$ and $I_{A_i}\not =I_{A}$ for all $1 \leq i \leq 2$. We provide a necessary and sufficient condition for a toric ideal to be splittable in terms of $A$, and we apply it to prove or disprove that certain classes of toric ideals are splittable. |
| title | Toric splittings |
| topic | Commutative Algebra 13F65, 14M25, 05C25, 05E40 |
| url | https://arxiv.org/abs/2410.18467 |