Chow rings of matroids were instrumental in the resolution Heron–Rota–Welsh Conjecture by Adiprasito, Huh, and Katz Top-Heavy Braden, Matherne, Proudfoot, Wang. The ring a matroid is commutative, graded, Artinian, Gorenstein algebra with linear quadratic relations defined matroid. Dotsenko conjectured that any Koszul. purpose this paper to prove Dotsenko’s conjecture. We also show augmented As ...

It is a fundamental property of the Chow groups algebraic schemes that they are contra-functorial with respect to flat morphisms between schemes. While pullback homomorphism easy define at level cycles, crucial step show cycles preserves rational equivalence, so it descends groups. The purpose this note give natural sheaf theoretic proof preservation equivalence under on cycles.