bio | website | preschema.com |
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location | Essen, Germany | |
age | 23 | |
visits | member for | 5 years, 3 months |
seen | 10 hours ago | |
stats | profile views | 1,349 |
Jan 1 |
answered | gluing of DG-categories |
Jan 1 |
comment |
gluing of DG-categories
You need to be able to identify the dg-categories with their respective opposite categories. For example it would make sense for dg-categories of sheaves on a scheme, where you have duals ($E \mapsto \mathbf{R}\mathrm{Hom}(E, O_X)$). |
Jan 1 |
comment |
gluing of DG-categories
How exactly are you defining $\varphi^\mathrm{op}$? |
Dec 30 |
comment |
V.I. Arnold's high school problem
This is a very easy olympiad problem. Take a look at "The USSR olympiad problem book", you'll be surprised at what else Russian twelve-year olds can do. |
Dec 30 |
answered | Maps to projective space determined by a line bundle |
Dec 26 |
comment |
K-theory of complete intersection
Perhaps the title should be changed to "Grothendieck group of..." instead of "K-theory of...". |
Dec 23 |
comment |
A statement for a triangulated category generated by a subset
As soon as the inclusion admits a right adjoint, there is a canonical equivalence of categories $\left<A\right>^\perp \stackrel{\sim}{\to} D/\left<A\right>$. Also $\left<A\right>$ is automatically thick under this assumption. See section 1.2 of Beilinson-Vologodsky for a reference. |
Dec 21 |
comment |
Reconstructing the Chow ring from the derived category
@SébastienPalcoux, this is noncommutative geometry in the sense of Kontsevich, when one replaces a variety by the triangulated category of perfect complexes on it. |
Dec 19 |
comment |
Is Euclid dead?
@MonroeEskew, sadly, I doubt you will see a proof of these things in a high school geometry course (in the US, at least; I think the Russian curriculum is another story). |
Dec 19 |
comment |
Reconstructing the Chow ring from the derived category
@Sasha, thanks, but I consider $\mathbf{D}(X)$ without the tensor structure. |
Dec 19 |
comment |
Reconstructing the Chow ring from the derived category
@ya-tayr, good point, you only get the ring structure on $\mathrm{CH}_*(X)$ when you consider the monoidal structure on $\mathbf{D}(X)$. |
Dec 19 |
revised |
Reconstructing the Chow ring from the derived category
added 22 characters in body |
Dec 19 |
revised |
Reconstructing the Chow ring from the derived category
added 130 characters in body |
Dec 19 |
asked | Reconstructing the Chow ring from the derived category |
Dec 14 |
awarded | Necromancer |
Dec 14 |
awarded | Yearling |
Dec 14 |
revised |
Stable infinity categories vs dg-categories
added 786 characters in body |
Dec 12 |
comment |
Derived Category.
It may be helpful to think first about the corresponding questions in the "baby" case of homological algebra, i.e. modules over a commutative ring. |
Nov 15 |
answered | Stable infinity categories vs dg-categories |
Oct 21 |
comment |
About the category of chain complexes and Grothendieck categories.
See also the nlab page: ncatlab.org/nlab/show/… |