Characterization and finite descent of local cohomological invariants
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910043842019328 |
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| author | Dirks, Bradley Olano, Sebastian Raychaudhury, Debaditya |
| author_facet | Dirks, Bradley Olano, Sebastian Raychaudhury, Debaditya |
| contents | We provide simple ``left-inverse characterizations'' of the recently introduced singularity invariants $c(Z)$, $w(Z)$, and ${\rm HRH}(Z)$ of an equidimensional variety $Z$. Combining this with a trace morphism, we establish descent results of these invariants for finite surjective morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06456 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterization and finite descent of local cohomological invariants Dirks, Bradley Olano, Sebastian Raychaudhury, Debaditya Algebraic Geometry 14B15, 14B05, 14J17 We provide simple ``left-inverse characterizations'' of the recently introduced singularity invariants $c(Z)$, $w(Z)$, and ${\rm HRH}(Z)$ of an equidimensional variety $Z$. Combining this with a trace morphism, we establish descent results of these invariants for finite surjective morphisms. |
| title | Characterization and finite descent of local cohomological invariants |
| topic | Algebraic Geometry 14B15, 14B05, 14J17 |
| url | https://arxiv.org/abs/2603.06456 |