Modular deformations and space curve singularities.

Bernd Martin

Revista Matemática Iberoamericana (2003)

  • Volume: 19, Issue: 2, page 613-621
  • ISSN: 0213-2230

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.