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Bibliographic Details
Main Author: Nugent, Brian
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.17689
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Table of Contents:
  • Let $X$ be a projective variety over a field. In this paper, we will construct a moduli space 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.