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Video Audio icon An illustration of an audio speaker. Audio Software icon An illustration of a 3. Moreover, there is a short introduction by R. Thomas "Derived categories for the working mathematician". Sign up to join this community. The best answers are voted up and rise to the top. Derived categories of coherent sheaves: suggested references?
Ask Question. Asked 11 years, 3 months ago. Active 11 years, 3 months ago. Viewed 5k times. Improve this question. J Verma J Verma 3, 1 1 gold badge 30 30 silver badges 39 39 bronze badges. Hovey's Model Categories chapters 1 and 2 don't worry, they're pretty short and not too bad a read, although you might want to skip the parts on the small object argument.
After that, there are two ways you can go: The computationally more useful but substantially less natural approach of working with triangulated categories, or by working with simplicial localizations and resolutions. Also, I was under the impression that Hovey's book does not say much about coherent sheaves on projective varieties. Add a comment. Active Oldest Votes. Kapustin, D. Orlov, Lectures on mirror symmetry, derived categories, and D-branes , Uspehi Mat. Nauk 59 , no. Surveys 59 , no.
Orlov, Derived categories of coherent sheaves and equivalences between them , Uspekhi Mat. Nauk, , Vol.
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