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arXiv · 2603.06456

Characterization and finite descent of local cohomological invariants

Bradley Dirks·Sebastian Olano·Debaditya Raychaudhury
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Abstract

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.

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Bradley Dirks, Sebastian Olano, Debaditya Raychaudhury. 2026-03-06. Characterization and finite descent of local cohomological invariants. https://arxiv.org/abs/2603.06456

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