A new Invariant for Plane Curve Singularities
Algebraic Geometry
2009-07-28 v2
Abstract
Greuel, Lossen and Shustin gave a general sufficient numerical condition for the T-smoothness (smoothness and expected dimension) of equisingular families of plane curves. This condition involves a new invariant \gamma for plane curve singularities, and it is conjectured to be asymptotically proper. In math.AG/0308247, similar sufficient numerical conditions are obtained for the T-smoothness of equisingular families on various classes surfaces. These conditions involve a series of invariants \gamma_a, 0 <= a <= 1, with \gamma_1=\gamma. In the present paper we compute (respectively give bounds for) these invariants for semiquasihomogeneous singularities.
Cite
@article{arxiv.math/0409404,
title = {A new Invariant for Plane Curve Singularities},
author = {Thomas Keilen and Christoph Lossen},
journal= {arXiv preprint arXiv:math/0409404},
year = {2009}
}
Comments
Some minor modifications of the original paper