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arxiv: 2606.02850 · v1 · pith:F5W7GO5Enew · submitted 2026-06-01 · 🧮 math.AC

Amplitude inequalities for local (co)homology

classification 🧮 math.AC
keywords complexesamplitudefinitelyfoxbygeneratedhomologymodulesresult
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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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