GL-algebras in positive characteristic I: the exterior algebra
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866916313671139328 |
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| author | Ganapathy, Karthik |
| author_facet | Ganapathy, Karthik |
| contents | We study the category of GL-equivariant modules over the infinite exterior algebra in positive characteristic. Our main structural result is a shift theorem a la Nagpal. Using this, we obtain a Church--Ellenberg type bound for the Castelnuovo--Mumford regularity. We also prove finiteness results for local cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_03693 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | GL-algebras in positive characteristic I: the exterior algebra Ganapathy, Karthik Commutative Algebra Representation Theory 13A50, 13C05 (Primary) 13D02, 15A75, 20G15 (Secondary) We study the category of GL-equivariant modules over the infinite exterior algebra in positive characteristic. Our main structural result is a shift theorem a la Nagpal. Using this, we obtain a Church--Ellenberg type bound for the Castelnuovo--Mumford regularity. We also prove finiteness results for local cohomology. |
| title | GL-algebras in positive characteristic I: the exterior algebra |
| topic | Commutative Algebra Representation Theory 13A50, 13C05 (Primary) 13D02, 15A75, 20G15 (Secondary) |
| url | https://arxiv.org/abs/2203.03693 |