Kovács, SándorNugent, Brian2025-08-012025-08-012025Nugent_washington_0250E_28178.pdfhttps://hdl.handle.net/1773/53694Thesis (Ph.D.)--University of Washington, 2025Let X be a projective variety over a field. In this paper, we will construct a modulispace of very ample line bundles on X. In doing so, we develop a generalization of Fitting ideals to complexes of sheaves on X. We give other applications of these Fitting ideals such as constructing Brill-Noether spaces for higher dimensional varieties and giving a scheme structure to the locus where the projective dimension of a module jumps up.application/pdfen-USnoneAlgebraic GeometryBasepoint freeLine BundlesModuli SpacesPicard SchemeVery AmpleMathematicsMathematicsThesis