IJPAM: Volume 30, No. 2 (2006)

LAGRANGE INTERPOLATION ON THE PROJECTIVE
LINE AND ON PROJECTIVE CURVES: VERY
SPECIAL INTERPOLATION SUBSETS

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it

Abstract.Let be an integral projective curve, $L\in \mbox{\rm Pic}(X)$ and $V \subseteq H^0(X,L)$ a linear subspace. Here we study the existence of $P_1,\dots ,P_{v-1}\in X_{reg}$ , $v:= \dim (V)$ such that for every $Q\in X_{reg}\backslash \{P_1,\dots ,P_{v-1}\}$ non non-zero $f\in V$ vanishes at and at each , $1 \le i \le v-1$ .