Derived Category of Variety of Lines on a Cubic Hypersurface

Student: Davydov Andrei

Supervisor: Sergey Galkin

Educational Programme: Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 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.

Full text (added June 14, 2016)

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