bio | website | |
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location | ||
age | 28 | |
visits | member for | 4 years, 9 months |
seen | Apr 18 at 15:02 | |
stats | profile views | 392 |
I am a PhD student interested in Algebraic Geometry.
Sep 16 |
awarded | Popular Question |
Jun 25 |
awarded | Citizen Patrol |
Jun 5 |
awarded | Nice Question |
Feb 25 |
comment |
What are the monomorphisms in the category of schemes?
Nice and complete answer! I particularly like the criterion (2). I add an example parallel to the last one: In EGA IV, 17.9.1 it's proved that the étale monomorphisms are exactly the open immersions. |
Feb 13 |
awarded | Nice Answer |
Jan 25 |
revised |
Books you would like to read (if somebody would just write them…)
added 1 characters in body |
Jan 24 |
awarded | Autobiographer |
Jan 24 |
awarded | Teacher |
Jan 24 |
answered | Books you would like to read (if somebody would just write them…) |
Jan 19 |
comment |
where can you find Grothendieck's “Recoltes et Semailles”?
They removed the links from the webpage but apparently most files are still online, look for instance math.jussieu.fr/~leila/grothendieckcircle/pubtexts.php and math.jussieu.fr/~leila/grothendieckcircle/unpubtexts.php. |
Jan 18 |
awarded | Scholar |
Jan 18 |
comment |
Locally constant sheaves for the étale topology, lack of intuition about “étale-localness”
Thanks, I like this point of view. |
Jan 18 |
accepted | Locally constant sheaves for the étale topology, lack of intuition about “étale-localness” |
Jan 18 |
awarded | Supporter |
Jan 18 |
comment |
Locally constant sheaves for the étale topology, lack of intuition about “étale-localness”
That's indeed what was confusing me, now everything is much more clear, thanks! |
Jan 18 |
awarded | Student |
Jan 18 |
comment |
Locally constant sheaves for the étale topology, lack of intuition about “étale-localness”
Sorry my previous comment was an answer for Daniel, but you were faster than me. Tom, I'll think about your suggestion, I did'n think about that. |
Jan 18 |
comment |
Locally constant sheaves for the étale topology, lack of intuition about “étale-localness”
thanks for the remark, you're right the question wasn't very clear, I just edited it. In the Zariski topology if you have two sheaves F and G on the scheme X, the presheaf $Isom_{F,G}$ associating to a Zariski open U the isomorphisms between the restrictions of F and G to U is indeed a sheaf, i.e. you can patch local isomorphisms as soon as they verify a cocycle condition. I thought this was the case for the étale site as well but the above example leaves me quite confused, I'd like to understand what's going on. |
Jan 18 |
awarded | Editor |
Jan 18 |
revised |
Locally constant sheaves for the étale topology, lack of intuition about “étale-localness”
added 5 characters in body |