On the Euler characteristics of real Milnor fibres of partially parallelizable maps of (Rn,0)(\mathbb{R}^n,0) to (R2,0)(\mathbb{R}^2,0)

International audienceWe give degree formulas for Euler characteristic of the real Milnor fibre of some analytic maps from Rn to R2

About the euler-poincaré characteristic of semi-algebraic sets defined with two inequalities

We express the Euler-Poincar´e characteristic of a semi-algebraic set, which is the intersection of a non-singular complete intersection with two polynomial inequalities, in terms of the signatures of appropriate bilinear symmetric forms