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Results tagged with ag.algebraic-geometry
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user 1631
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
0
votes
Examples where it's useful to know that a mathematical object belongs to some family of objects
I have two related sorts of example to suggest, probably exhibiting my categorical bias vs. the analytic/geometric-topology weight of the preceding examples.
Galois-theoretic
Let $P\in K[x]$ be an i …
- 1,987
2
votes
Accepted
Is there a category-theoretic definition of the arithmetic Grothendieck group
The classical group $K_0$ can also be thought of as consisting of equivalence classes of chain complexes of vector bundles, such that the exact sequences represent the zero of $K_0$ --- and furthermor …
- 1,987
2
votes
Heuristic explanation of why we lose projectives in sheaves.
Sorry if this is silly; but might it have something to do with needing in the sheaf category to consider the sheafified presheaf cokernel in order to talk about projections? that is, I (think I) can i …
- 1,987