Modular Deformations and Space Curve Singularities | Zendy

Bernd Martin | Zendy

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Modular Deformations and Space Curve Singularities

Author(s) -

Bernd Martin

Publication year - 2003

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/362

Subject(s) - gravitational singularity , space (punctuation) , modular design , mathematics , geometry , pure mathematics , mathematical analysis , computer science , programming language , operating system

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.

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