Partial semiorthogonal decompositions for quiver moduli
Algebraic Geometry
2025-04-22 v2
Abstract
We embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, giving the start of a semiorthogonal decomposition. This mirrors the semiorthogonal decompositions of moduli of vector bundles on curves. Our results are obtained with QuiverTools, an open-source package of tools for quiver representations, their moduli spaces and their geometrical properties.
Cite
@article{arxiv.2411.15125,
title = {Partial semiorthogonal decompositions for quiver moduli},
author = {Gianni Petrella},
journal= {arXiv preprint arXiv:2411.15125},
year = {2025}
}
Comments
Accepted manuscript