Abstract
This is an introduction to the language of derived categories and understanding the triangulated structure on the derived category. We also introduce the analogue of functors on a derived category, i.e. derived functors.
Keywords
- Homotopy Category
- Triangulated Categories
- Full Additive Subcategory
- Mapping Cone Construction
- Abelian Category
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
D. Huybrechts, Fourier-Mukai Transforms in Algebraic Geometry, Oxford Science Publications (2006)
Sergei I. Gelfand and Yuri I. Manin, Methods of Homological Algebra, Springer-Verlag Berlin Heidelberg (2003)
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Chidambaram, N.K. (2018). Derived Categories and Derived Functors. In: Ballard, M., Doran, C., Favero, D., Sharpe, E. (eds) Superschool on Derived Categories and D-branes. SDCD 2016. Springer Proceedings in Mathematics & Statistics, vol 240. Springer, Cham. https://doi.org/10.1007/978-3-319-91626-2_2
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DOI: https://doi.org/10.1007/978-3-319-91626-2_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-91625-5
Online ISBN: 978-3-319-91626-2
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