On t-structures on derived categories of coherent sheaves:
Dan Abramovich, Alexander Polishchuk, Sheaves of t-structures and valuative criteria for stable complexes, J. reine angew. Math. 590 (2006) 89-130 [arXiv:math/0309435, doi:10.1515/CRELLE.2006.005]
Alexander Polishchuk, Constant families of t-structures on derived categories of coherent sheaves, Moscow Math. J. 7 (2007) 109-134 [arXiv:math/0606013]
Discussion of traditional algebraic geometry for super-schemes:
On differential forms on supermanifolds (or rather on super-varieties):
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