Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
Abstract
It is known that a plane projective curve D consisting of a
union of degree n curves in the same pencil with a smooth base locus is
free if and only if D contains all the singular members of the pencil and
its Jacobian ideal is locally a complete intersection. Here we generalizes
this result to pencils having a singular base locus.
