Over Prüfer and valuation rings, p-adic motivic cohomology is the Nisnevich-local truncation of Bhatt-Lurie syntomic cohomology, and over Dedekind domains it recovers Bloch's cycle complexes.
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Beilinson--Lichtenbaum phenomenon for motivic cohomology
Over Prüfer and valuation rings, p-adic motivic cohomology is the Nisnevich-local truncation of Bhatt-Lurie syntomic cohomology, and over Dedekind domains it recovers Bloch's cycle complexes.