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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

4 votes
Accepted

Can the étale topology ever be realized as an "honest" topology?

I think Senor Borger speaks truth. Maybe I am talking non-sense, but maybe this could be a sketch of some way to proceed (maybe not....): Key feature of a site which we cannot have in a classical to …
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3 votes

Definition of Chow groups over Spec Z

So with a lot of extra care about dimension/codimension it seems to be possible to define Chow groups over Spec Z if I understand the above answers correctly. I may point out that in the book by Elma …
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11 votes

Understanding the definition of the Lefschetz (pure effective) motive

I think the name L is chosen because it corresponds to the 'L operator' of 'old algebraic geometry' over the complex numbers (and that in turn is named L, I would agree, probably to honour Lefschetz). …
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15 votes
1 answer
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Link: Serre's intersection formula <-> Bloch-Quillen Thm / When only intersecting divisors, ...

In very short: When proving the equivalence of intersection theory constructed through (Milnor) K-sheaves and their product vs. defining the product via Serre's local multiplicity formula + moving, I …
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