Year of Graduation
Toric Varieties and Gale Duality
In I. Artamkin's paper, toric varieties given by some version of Gale dual reflexive polyhedra are studied. In this work we obtain a connection between this construction and the homological projective duality of A. Kuznetsov for some particular cases. We also answer a question about weighted reflexive polyhedra from the work of I. Artamkin. Further, following Fulton's book, we give a review of well-known facts about line bundles on toric varieties and cohomology of line bundles.