An ADE correspondence for grade three perfect ideals
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909239358783488 |
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| author | Guerrieri, Lorenzo Ni, Xianglong Weyman, Jerzy |
| author_facet | Guerrieri, Lorenzo Ni, Xianglong Weyman, Jerzy |
| contents | Using the theory of "higher structure maps" from generic rings for free resolutions of length three, we give a classification of grade 3 perfect ideals with small type and deviation in local rings of equicharacteristic zero, extending the Buchsbaum-Eisenbud structure theorem on Gorenstein ideals and realizing it as the type D case of an ADE correspondence. We also deduce restrictions on Betti tables in the graded setting for such ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02380 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An ADE correspondence for grade three perfect ideals Guerrieri, Lorenzo Ni, Xianglong Weyman, Jerzy Commutative Algebra 13C05 Using the theory of "higher structure maps" from generic rings for free resolutions of length three, we give a classification of grade 3 perfect ideals with small type and deviation in local rings of equicharacteristic zero, extending the Buchsbaum-Eisenbud structure theorem on Gorenstein ideals and realizing it as the type D case of an ADE correspondence. We also deduce restrictions on Betti tables in the graded setting for such ideals. |
| title | An ADE correspondence for grade three perfect ideals |
| topic | Commutative Algebra 13C05 |
| url | https://arxiv.org/abs/2407.02380 |