Interpolation on Jets

Abstract

We show that for any finite generic union of pairs $(x_i,L_i{)}_i$ where $x_i\in L_i$ is a point of the line $L_i$ in projective $n$-space, the divisors $m_i{x}_i$ on the $L_i$ have maximal rank with respect to homogeneous $d$ forms for all $d\ge 0$ and all $m_i\ge 0$ modulo the expected numerical restrictions.

5 pages, Latex2e