FREE DIVISORS IN A PENCIL OF CURVES
Résumé
A plane curve on a the projective space over a field of characteristic zero is free if
its associated sheaf T of tangent vector fields tangent is a free module. Relatively few
free curves are known. Here we prove that a divisor consisting of a union of curves of a pencil of plane projective curves with the same degree
and with a smooth base locus is a free divisor if and only this union contains all the singular members of the pencil and its Jacobian ideal is locally a complete intersection.
Origine : Fichiers produits par l'(les) auteur(s)
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