New divisors in the boundary of the instanton moduli space
Algebraic Geometry
2018-04-17 v1
Abstract
Let denote the moduli space of rank instanton bundles of charge on . We know from several authors that is an irreducible, nonsingular and affine variety of dimension . Since every rank instanton bundle on is stable, we may regard as an open subset of the projective Gieseker--Maruyama moduli scheme of rank semistable torsion free sheaves on with Chern classes and , and consider the closure of in . We construct some of the irreducible components of dimension of the boundary . These components generically lie in the smooth locus of and consist of rank torsion free instanton sheaves with singularities along rational curves.
Keywords
Cite
@article{arxiv.1501.00736,
title = {New divisors in the boundary of the instanton moduli space},
author = {Marcos Jardim and Dimitri Markushevich and Alexander S. Tikhomirov},
journal= {arXiv preprint arXiv:1501.00736},
year = {2018}
}
Comments
30 pages