Rationality of instanton moduli
Algebraic Geometry
2024-09-04 v2
Abstract
Tikhomirov (2009) proved the irreducibility of the moduli space of mathematical instantons on the projective 3-space for all odd charges. The irreducibility for charges between 1 and 5 was known before. In the present paper, the rationality of the instanton moduli spaces is proved under the assumption of the irreducibility. So, in particular, the instanton moduli spaces are rational for all odd charges and for charges 2 and 4.
Keywords
Cite
@article{arxiv.1012.4132,
title = {Rationality of instanton moduli},
author = {D. Markushevich and A. S. Tikhomirov},
journal= {arXiv preprint arXiv:1012.4132},
year = {2024}
}
Comments
There is a gap: the assertion that the right hand vertical arrow in the diagram (86) is a H-principal bundle lacks a proof