We investigate different concepts of modular deformations of
germs of isolated singularities (infinitesimal, Artinian, formal).
An obstruction calculus based on the graded Lie algebra structure
of the tangent cohomology for modular deformations is introduced.
As the main result the characterisation of the maximal infinitesimally
modular subgerm of the miniversal family as flattening stratum of
the relative Tjurina module is extended from ICIS to space curve
singularities.
Publié le : 2003-09-14
Classification:
versal deformation,
curve singularities,
local moduli,
32S15,
14B05,
14Q10
@article{1063050168,
author = {Martin, Bernd},
title = {Modular Deformations and Space Curve Singularities},
journal = {Rev. Mat. Iberoamericana},
volume = {19},
number = {2},
year = {2003},
pages = { 613-621},
language = {en},
url = {http://dml.mathdoc.fr/item/1063050168}
}
Martin, Bernd. Modular Deformations and Space Curve Singularities. Rev. Mat. Iberoamericana, Tome 19 (2003) no. 2, pp. 613-621. http://gdmltest.u-ga.fr/item/1063050168/