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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Andrei Davydov
Derived Category of Variety of Lines on a Cubic Hypersurface
Mathematics
(Bachelor’s programme)
8
2016
We investigate the relation between the derived category of coherent sheaves on the variety of lines of the cubic hypersurface and the derived category of coherent sheaves on the cubic itself. We are particularly interested in the case of cubic fourfolds, where we make a conjecture that the

former category is equivalent to the second symmetric power of a certain subcategory of the latter.

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