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THE COMPLEXITY OF HIGHER CHOW GROUPS
2022
Canadian mathematical bulletin
Let X/C be a smooth projective variety. We consider two integral invariants, one of which is the level of the Hodge cohomology algebra H * (X, C) and the other involving the complexity of the higher Chow groups CH * (X, m; Q) for m ≥ 0. We conjecture that these two invariants are the same and accordingly provide some strong evidence in support of this.
doi:10.4153/s0008439522000509
fatcat:vvidjinapfb5loqohlzvmov3hy