Some obstructed equisingular families of curves on surfaces in projective three-space
Algebraic Geometry
2009-07-28 v1
Abstract
Very few examples of obstructed equsingular families of curves on surfaces other than the projective plane are known. Combining results from Westenberger and Hirano with an idea from math.AG/9802009 we give in the present paper series of examples of families of irreducible curves with simple singularities on surfaces in projective three-space which are not T--smooth, i.e. do not have the expected dimension, and we compare this with conditions (showing the same asymptotics) which ensure the existence of a T--smooth component.
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Cite
@article{arxiv.0706.2441,
title = {Some obstructed equisingular families of curves on surfaces in projective three-space},
author = {Thomas Markwig},
journal= {arXiv preprint arXiv:0706.2441},
year = {2009}
}
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8 pages