A freeness criterion for complexes with derived actions
Commutative Algebra
2025-02-28 v1 Number Theory
Abstract
Inspired by the patching method of Calegari and Geraghty, and a conjecture of de Smit that has been proved by the first author, we present a conjectural freeness criterion without patching for complexes over commutative noetherian local rings with derived actions, and verify it in several cases.
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Cite
@article{arxiv.2502.12868,
title = {A freeness criterion for complexes with derived actions},
author = {Sylvain Brochard and Srikanth B. Iyengar and Chandrashekhar B. Khare},
journal= {arXiv preprint arXiv:2502.12868},
year = {2025}
}
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17 pages