Slope equality of plane curve fibrations and its application to Durfee's conjecture
Algebraic Geometry
2018-04-18 v2 Geometric Topology
Abstract
We give a slope equality for fibered surfaces whose general fiber is a smooth plane curve. As a corollary, we prove a "strong" Durfee-type inequality for isolated hypersurface surface singularities, which implies Durfee's strong conjecture for such singularities with non-negative topological Euler number of the exceptional set of the minimal resolution.
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Cite
@article{arxiv.1704.08806,
title = {Slope equality of plane curve fibrations and its application to Durfee's conjecture},
author = {Makoto Enokizono},
journal= {arXiv preprint arXiv:1704.08806},
year = {2018}
}
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18 pages