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Logarithmic vector fields and multiplication table

Susumu Tanabé
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Abstract

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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Susumu Tanabé. 2006-02-14. Logarithmic vector fields and multiplication table. https://arxiv.org/abs/math/0602301

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