Modular deformations and space curve singularities.

Martin, Bernd. "Modular deformations and space curve singularities.." Revista Matemática Iberoamericana 19.2 (2003): 613-621. <http://eudml.org/doc/39642>.

@article{Martin2003,
abstract = {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 dcformations 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.},
author = {Martin, Bernd},
journal = {Revista Matemática Iberoamericana},
keywords = {Curvas algebraicas; Singularidades; Deformación; Curvas espaciales; versal deformation; curve singularities; local moduli},
language = {eng},
number = {2},
pages = {613-621},
title = {Modular deformations and space curve singularities.},
url = {http://eudml.org/doc/39642},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Martin, Bernd
TI - Modular deformations and space curve singularities.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 2
SP - 613
EP - 621
AB - 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 dcformations 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.
LA - eng
KW - Curvas algebraicas; Singularidades; Deformación; Curvas espaciales; versal deformation; curve singularities; local moduli
UR - http://eudml.org/doc/39642
ER -