Sheaves of low rank in three dimensional projective space
Algebraic Geometry
2023-11-08 v2
Abstract
We classify Chern characters of semistable sheaves up to rank four in three dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible.
Cite
@article{arxiv.2112.06260,
title = {Sheaves of low rank in three dimensional projective space},
author = {Benjamin Schmidt},
journal= {arXiv preprint arXiv:2112.06260},
year = {2023}
}
Comments
53 pages