Some quadratic inequalities on product varieties
Algebraic Geometry
2022-05-26 v2
Abstract
We prove some positivity results on the coefficients in the complexified Hilbert polynomial of a semi-stable object. After applying these results on the classical slope stability conditions, we get sequences of quadratic inequalities for semi-stable objects on product varieties. The leading quadratic inequality can be viewed as a weak version of Bogomolov's inequality holding in arbitrary characteristics.
Cite
@article{arxiv.2010.14039,
title = {Some quadratic inequalities on product varieties},
author = {Yucheng Liu},
journal= {arXiv preprint arXiv:2010.14039},
year = {2022}
}
Comments
15 pages, all comments are welcome!