Geodesic
Tangent fields on deformations of complex spaces
Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 163-182

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Properties of sheaves of graded Lie algebras associated with a flat mapping of complex spaces are established. In particular, for a minimal versal deformation the tangent algebra of a fiber defines a linearization of the algebra of liftable fields on the base, which in turn enables one to find the discriminant of the deformation and its modular subspace. A criterion is obtained for the nilpotency of the tangent algebra of the germ of a hypersurface with a unique singular point. It is proved that in the algebra of liftable fields on the base of a minimal versal deformation of such a germ there always exists a basis with symmetric coefficient matrix. 
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     author = {V. P. Palamodov},
     title = {Tangent fields on deformations of complex spaces},
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V. P. Palamodov. Tangent fields on deformations of complex spaces. Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 163-182. http://geodesic.mathdoc.fr/item/SM_1992_71_1_a10/