Unstable products of smooth curves

Details Unstable products of smooth curves Unstable products of smooth curves

2005-06-22

arxiv.org/abs/math/0506447v3

Mathematics

Algebraic Geometry

Added implications for unstable Hilbert and Chow points; typos corrected

Scientific paper

10.1007/s00222-005-0490-8

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.

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