A freeness criterion for complexes with derived actions

2025/02/18 by Brochard, Sylvain, Iyengar, Srikanth B., Khare, Chandrashekhar B. · 1 citation
#11F80 (secondary) #13C10 (primary) #13D02 #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2502.12868

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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• Commutative algebra inspired by modularity lifting

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