We prove a Knörrer-periodicity-type equivalence between derived factorization categories of
gauged Landau–Ginzburg models, which is an analogy of a theorem proved by Shipman …

Abstract For a given Fourier–Mukai equivalence of bounded derived categories of coherent
sheaves on smooth quasi-projective varieties, we construct Fourier–Mukai equivalences of …

We provide a geometric approach to constructing Lefschetz collections and Landau–
Ginzburg homological projective duals from a variation of Geometric Invariant Theory …

Bondal and Orlov's study of the behaviour of the bounded derived category Db (X) of
coherent sheaves on a smooth projective variety X under certain birational transformations …

In the first half of this thesis, for a given Fourier-Mukai equivalence of bounded derived
categories of coherent sheaves on smooth quasi-projective varieties, we construct Fourier …