Non--trivial harmonic spinors on generic algebraic surfaces
alg-geom
2010-06-03 v1 Algebraic Geometry
Abstract
We disprove Hitchin's conjecture to the effect that for a generic complex structure on a simply connected spin complex surface the square root of the canonical bundle has no more cohomology then is predicted by the Riemann--Roch theorem. (This paper will appear in Proc. Amer. Math. Soc.)
Cite
@article{arxiv.alg-geom/9502028,
title = {Non--trivial harmonic spinors on generic algebraic surfaces},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:alg-geom/9502028},
year = {2010}
}
Comments
4 pages, AMSLaTeX