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In this paper, we show that, conversely, the Segre class of a closed subscheme encodes an integral dependence criterion for its defining ideal sheaf. As an application, we prove that Aluffi's Segre zeta function provides an integral dependence criterion for homogeneous ideals in polynomial rings.
From: Yairon Cid-Ruiz [view email]
[v1]
Tue, 9 Dec 2025 17:54:09 UTC (37 KB)
[v2]
Thu, 18 Jun 2026 13:43:04 UTC (38 KB)
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