Logarithmic vector fields and multiplication table

Details Logarithmic vector fields and multiplication table Logarithmic vector fields and multiplication table

2006-02-14

arxiv.org/abs/math/0602301v2

Mathematics

Algebraic Geometry

22 pages. A review article

Scientific paper

This is a review article on the Gauss-Manin system associated to the complete intersection singularities of projection. We show how the logarithmic vector fields appear as coefficients to the Gauss-Manin system. We examine further how the multiplication table on the Jacobian quotient module calculates the logarithmic vector fields tangent to the discriminant and the bifurcation set . As applications, we establish signature formulae for Euler characteristics of real hypersurfaces and real complete intersections by means of these fields.

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