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arXiv · 2608.17281

A Structural Property of Generic Initial Ideals

Nikola Kuzmanovski
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Abstract

We prove an asymptotic structural property of generic initial ideals. This single phenomenon yields results on Hilbert functions, persistence, hyperplane restriction, graded Betti numbers, combinatorial shadow minimization, and Lefschetz properties.

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Nikola Kuzmanovski. 2026-08-18. A Structural Property of Generic Initial Ideals. https://arxiv.org/abs/2608.17281

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