bio | website | |
---|---|---|
location | Cambridge, MA | |
age | 26 | |
visits | member for | 4 years, 11 months |
seen | May 17 at 2:12 | |
stats | profile views | 1,626 |
I'm interested in topology, algebraic geometry and number theory.
May 10 |
comment |
When is the Hom-scheme connected?
Whether or not you assume commutativity, you won't in general get connectivity. Take for example maps from the n'th neighborhood of $0$ in $\mathbb{A}^1$ into the n'th neighborhood of $0$ in $Spec(k[x,y]/(xy)$. These mapping spaces are in general at least as complicated as mapping spaces of fixed degree between projective varieties: if $A$ is functions on a neighborhood of the affine cone of a projective variety $X$ and $B$ is functions in a neighborhood of 0 in a veronese twisted affine cone of $Y$ then $Map(B,A)$ goes to $Map(X,Y)$ surjectively by taking blowups of tangent cones. |
May 10 |
answered | Fundamental group of the complement homogeneous variety in $\mathbb{C}P^{n-1}$ |
Apr 27 |
answered | Is there a nonzero sheaf with all cohomologies vanish? |
Apr 27 |
asked | Twisting stable maps to C* equivariant space by a line bundle |
Apr 5 |
answered | On a theorem of Kazhdan |
Mar 25 |
comment |
On a theorem of Kazhdan
Ah sorry, thought you were twisting by a character of the Levi (which would not affect the dimension... your current question makes a lot more sense). |
Mar 24 |
revised |
On a theorem of Kazhdan
minor correction |
Mar 24 |
awarded | Informed |
Mar 24 |
revised |
On a theorem of Kazhdan
minor edit |
Mar 24 |
answered | On a theorem of Kazhdan |
Mar 18 |
awarded | Popular Question |
Feb 11 |
awarded | Self-Learner |
Jan 12 |
revised |
Twisting of the power functor
minor edit: added the word "perfect" in a couple places |
Jan 12 |
comment |
Twisting of the power functor
Hi David, I mean the category of perfect modules over $T(k)$, which I think it's enough to consider as a DG algebra over $k$. (Correct me if this doesn't make sense). |
Jan 11 |
revised |
Twisting of the power functor
edited typo |
Jan 11 |
asked | Twisting of the power functor |
Dec 1 |
accepted | What is the coefficient ring of algebraic K theory of the discrete $\mathbb{C}$? |
Sep 24 |
awarded | Autobiographer |
Aug 13 |
revised |
When do limits and colimits of infinity-categories commute?
added some info on the case I'm interested in |
Aug 13 |
comment |
When do limits and colimits of infinity-categories commute?
@Adeel Thanks, but neither of these is quite what I need. I need index diagrams that are more complicated than just products (so 5.5.8.11 isn't enough), and 5.3.3.3 is only about limits/colimits in the category of spaces (I need the category of stable infty-categories). However, there is something about my case that's not that far from the category of spaces, and I'm editing the question accordingly. |