Some obstructed equisingular families of curves on surfaces in projective three-space

Details Some obstructed equisingular families of curves on surfaces in projective three-space Some obstructed equisingular families of curves on surfaces in projective three-space

2007-06-16

arxiv.org/abs/0706.2441v1

Singularity theory, 715--723, World Sci. Publ., Hackensack, NJ, 2007

Mathematics

Algebraic Geometry

8 pages

Scientific paper

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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