1 is it true that the "homotopy category" of all (??bounded or something??) chain complexes of objects from an abelian category is essentially the derived category of (again, bounded or something...) chain complexes of objects from another abelian category? or something like that?
2 how to understand "complete intersection" ??... geometric intuition... ??something about not necessarily "reduced" (or something) case...
3 what about some sort of "dual" of a dg module of a dg algebroid?? ...and so forth...
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