FREE DIVISORS IN A PENCIL OF CURVES
Résumé
A plane curve D ⊂ P 2 (k) where k is a field of characteristic zero is free if its associated sheaf TD of vector fields tangent to D is a free O P 2 (k) -module (see [6] or [5] for a definition in a more general context). Relatively few free curves are known. Here we prove that the union of all singular members of a pencil of plane projective curves with the same degree and with a smooth base locus is a free divisor.
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