Construction of  -structures and equivalences of derived categories |
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| Authors: | Leovigildo Alonso Tarrí o Ana Jeremí as Ló pez Marí a José Souto Salorio |
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| Institution: | Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain ; Departamento de Álxebra, Facultade de Matemáticas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain ; Facultade de Informática, Campus de Elviña, Universidade da Coruña, E-15071 A Coruña, Spain |
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| Abstract: | We associate a  -structure to a family of objects in  , the derived category of a Grothendieck category  . Using general results on  -structures, we give a new proof of Rickard's theorem on equivalence of bounded derived categories of modules. Also, we extend this result to bounded derived categories of quasi-coherent sheaves on separated divisorial schemes obtaining, in particular, Be linson's equivalences. |
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