Multicomplex Configurations: a case study in Gorenstein Liaison
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_ | 1866915389021093888 |
|---|---|
| author | Klein, Patricia Rajchgot, Jenna Seceleanu, Alexandra |
| author_facet | Klein, Patricia Rajchgot, Jenna Seceleanu, Alexandra |
| contents | We introduce and investigate multicomplex configurations, a class of projective varieties constructed via specialization of the polarizations of Artinian monomial ideals. Building upon geometric polarization and geometric vertex decomposition, we establish conditions under which such configurations retain desirable algebraic properties. In particular, we show that, given suitable choices of linear forms for substitution, the resulting ideals admit Gröbner bases with prescribed initial ideals and are in the Gorenstein liaison class of a complete intersection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multicomplex Configurations: a case study in Gorenstein Liaison Klein, Patricia Rajchgot, Jenna Seceleanu, Alexandra Commutative Algebra 13P10, 13C40 We introduce and investigate multicomplex configurations, a class of projective varieties constructed via specialization of the polarizations of Artinian monomial ideals. Building upon geometric polarization and geometric vertex decomposition, we establish conditions under which such configurations retain desirable algebraic properties. In particular, we show that, given suitable choices of linear forms for substitution, the resulting ideals admit Gröbner bases with prescribed initial ideals and are in the Gorenstein liaison class of a complete intersection. |
| title | Multicomplex Configurations: a case study in Gorenstein Liaison |
| topic | Commutative Algebra 13P10, 13C40 |
| url | https://arxiv.org/abs/2507.10357 |