Timeline for Cohomology of Structure Sheaves: Algebraic, Constructible and more
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jan 25, 2011 at 2:40 | comment | added | David Ben-Zvi | In any case if you look at the category generated by the structure sheaf, it will then be given by modules over derived endomorphisms of $O$, i.e., over derived global sections of $O$, i.e. over "derived global functions".. | |
| Jan 25, 2011 at 2:39 | comment | added | David Ben-Zvi | There's a theorem (see [Keller, On differential graded categories] for the dg setting, [Schwede-Shipley, Stable model categories are categories of modules] for the model setting and Lurie, DAG II for the oo-categorical setting) that "enriched" versions of triangulated categories which are generated by a single object are equivalent to modules over the endomorphisms of the object (for abelian categories this is a standard result about endomorphisms of a projective generator, don't know what's a standard reference). | |
| Jan 24, 2011 at 21:19 | comment | added | Justin Curry | thank you for your insights and for being general. do you have a paper/notes that elaborates on the proof of the above statements? | |
| Jan 24, 2011 at 2:44 | history | answered | David Ben-Zvi | CC BY-SA 2.5 |