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Here you can find all my previous posts:
Notes on Rational Curves on Varieties, I
Going Straight into Class Field Theory, I
From Milnor K-groups to Cycles, II
From Milnor K-groups to Cycles, II
From Milnor K-groups to Cycles, I
Intersection Theory of Cycles and the Derived Category of Coherent Sheaves
Torsion Motivic Complex at Lower Weights