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arXiv · 2608.06019

Restrictions on the Betti tables of licci ideals

Craig Huneke·Claudia Polini·Bernd Ulrich
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Abstract

We introduce several conjectures which mainly deal with restrictions on the Betti tables of licci ideals. We focus on a series of questions that compare the number of generators of homogeneous licci ideals in polynomial rings to the maximal last shift in their graded free resolution. We prove these conjectures in a large number of cases.

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Craig Huneke, Claudia Polini, Bernd Ulrich. 2026-08-06. Restrictions on the Betti tables of licci ideals. https://arxiv.org/abs/2608.06019

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