Geodesic
The period map and the discriminant
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 65-81 Cet article a éte moissonné depuis la source Math-Net.Ru

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Nondegeneracy and compatibility is proved for the period map on the strata of the discriminant of a versal deformation of a critical point of a function (under hypotheses indicated in the paper). The weight foliation on the discriminant of a versal deformation of $A_4$ is described. The singularities of the foliation are connected with the singularities of the degeneration of the symplectic structure on a four-dimensional manifold. Figures: 10. Bibliography: 30 titles. 
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A. N. Varchenko. The period map and the discriminant. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 65-81. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a3/

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