A notion used by Burgos Gil et al in connection with arithmetic Chow groups
arXiv: Experimental full text search
AAG (Arithmetic algebraic geometry)
Arithmetic
See Burgos, Kramer, Kuhn: Cohomological arithmetic Chow rings
Gillet: Riemann-Roch theorems for higher algebraic K-theory (1981)
nLab page on Gillet cohomology