Polishchuk, AlexanderLim, Bronson2017-09-062017-09-062017-09-06https://hdl.handle.net/1794/22628We construct a semi-orthogonal decomposition for the equivariant derived category of a hypersurface associated to the sum of two potentials. More specifically, if $f,g$ are two homogeneous poynomials of degree $d$ defining smooth Calabi-Yau or general type hypersurfaces in $\mathbb{P}^n$, we construct a semi-orthogonal decomposition of $D[V(f\oplus g)/\mu_d]$. Moreover, every component of the semi-orthogonal decomposition is explicitly given by Fourier-Mukai functors.en-USAll Rights Reserved.Algebraic geometryDerived categoriesElectronic Thesis or Dissertation