Genericity results for singular curves

(b) If k is odd then a generic distribution is not determined by characteristic vector fields in the region where the characteristic equation (CE ) has only one real single root as,

Proof of Lemma 1.. By assumption xo is a singular trajectory, hence this space is at least of codimension one.. PARTIALLY ALGEBRAIC OR SEMI-ALGEBRAIC FIBER

We first describe the simple local structure of a Wronski algebra system. Assume that X is an affine scheme and u^x/s is free, say generated by r. - The main observation here is

To conclude the proof notice that theorem 1.11 and lemma 5.6 from [H] combined with the fact that the intersection number of two algebraic curves is the linking number of links of

Toute utilisation commerciale ou impression systé- matique est constitutive d’une infraction pénale.. Toute copie ou impression de ce fi- chier doit contenir la présente mention

be an immersion of degree d. — The normal bundle Nj.. We do this by direct computation. Proof of the main theorem. In this final section, we will prove Theorem 1.1.. Let R^ be an

This is essentially done in [BB]; but now we want to construct curves with maximal rank, and since there is described the case of families of curves with fixed

a plane curve singularity, which has only real branches, equals the number of double points of a divide for the singularity The following theorem extends the computation of the