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arXiv · 2608.24018

Counterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimension

Linquan Ma
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Abstract

We give counterexamples to the remaining homological conjectures of Peskine-Szpiro concerning modules of finite projective dimension over Noetherian local rings. Specifically, we show that the dimension inequality, the strong intersection conjecture, and the grade conjecture are all false in general.

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Linquan Ma. 2026-08-25. Counterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimension. https://arxiv.org/abs/2608.24018

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