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arXiv · 2606.02850

Amplitude inequalities for local (co)homology

Lars Winther Christensen·Luigi Ferraro·Henrik Holm
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Abstract

Peskine and Szpiro's Intersection Theorem for finitely generated modules was generalized by Foxby to all modules and bounded complexes of such. We strengthen Foxby's result and prove a dual result, which for complexes with finitely generated homology recovers Iversen's Amplitude Inequality but also applies to derived complete complexes.

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Lars Winther Christensen, Luigi Ferraro, Henrik Holm. 2026-06-01. Amplitude inequalities for local (co)homology. https://arxiv.org/abs/2606.02850

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