Unstable products of smooth curves
Algebraic Geometry
2009-11-11 v3 Differential Geometry
Abstract
We give examples of smooth surfaces with negative first Chern class which are slope unstable with respect to certain polarisations, and so have Kahler classes that do not admit any constant scalar curvature Kahler metrics. We also compare this to the work of Song-Weinkove on the J-flow.
Cite
@article{arxiv.math/0506447,
title = {Unstable products of smooth curves},
author = {J. Ross},
journal= {arXiv preprint arXiv:math/0506447},
year = {2009}
}
Comments
Added implications for unstable Hilbert and Chow points; typos corrected