Perfect complexes over an I-adic completion are equivalent to dualizable I-complete complexes precisely when the ring's Koszul homology is unchanged by completion.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2024 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Perfect complexes and completion
Perfect complexes over an I-adic completion are equivalent to dualizable I-complete complexes precisely when the ring's Koszul homology is unchanged by completion.