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Results tagged with ct.category-theory
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user 11682
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
9
votes
Accepted
stackification commutes with finite limits?
The answer is yes, at least for $2$-fiber products. And fortunately there is an excellent reference online: Tag04Y1 in the Stacks Project. I quote:
Lemma 8.4. Let $C$ be a site. Let $f : X \to Y$ …
- 35.5k
5
votes
Reference for Manin's idea on algebraic geometry over the symmetric monoidal model category ...
Not really an answer, but as a complement to Myshkin's, let me just mention a predecessor : Deligne's very famous (and magnificent) article
Deligne, P. Le groupe fondamental de la droite projective m …
- 4,008
4
votes
Is there a "free abelian group of rank 1" in the category of affine group schemes?
Claim : if $k$ is perfect of characteristic $0$, then :
$$\mathbb Z^{k, alg}\simeq \mathbb G_a\times D_k(k^*)$$
Here $\mathbb Z^{k, alg}$ stands for the pro-algebraic completion of $\mathbb Z$ (the …
- 4,008
15
votes
Accepted
Anabelian geometry study materials?
There is this very beautiful survey
Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi
The Grothendieck conjecture on the fundamental groups of algebraic curves
http://www.math.sci.osaka-u.ac. …
- 148k