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This tag is used if a reference is needed in a paper or textbook on a specific result.

5 votes
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Classification of t-structures in derived category of R-mod?

Provided $R$ has a dualizing complex an answer is given in this (very nice) preprint of Alonso, Jeremias, and, Saorin in terms of certain filtrations on the spectrum of $R$. Corollary 6.11 is the resu …
Greg Stevenson's user avatar
3 votes
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Looking for reference talking about torsion theory on coherent sheaves on projective space

Depending upon how strict you are with your definition of torsion theory a good source of examples is the theory of semi-orthogonal decompositions. A really nice example of this is the appearance of s …
Greg Stevenson's user avatar
3 votes

Applications of classifying thick subcategories

I'm not completely sure if this is the sort of thing you are after, but the telescope conjecture (conjecture isn't a great word as it is known to be false for some categories) springs to mind as somet …
Greg Stevenson's user avatar