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arXiv · 2605.03872

Independence of generic forms and the Fröberg conjecture

Mats Boij·Eric Dannetun·Samuel Lundqvist
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Abstract

We show that the Fröberg conjecture holds in the second non-trivial degree for an ideal generated by generic forms of degree $d>2$. We also show that the conjecture is true up to degree $2d-1$ provided that the number of variables is sufficiently large.

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Mats Boij, Eric Dannetun, Samuel Lundqvist. 2026-05-05. Independence of generic forms and the Fröberg conjecture. https://arxiv.org/abs/2605.03872

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