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Article Dans Une Revue Journal of Singularities Année : 2015

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 T D 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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hal-02476957 , version 1 (21-06-2023)

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Jean Vallès. FREE DIVISORS IN A PENCIL OF CURVES. Journal of Singularities, 2015, 11, pp.190 - 197. ⟨10.5427/jsing.2015.11h⟩. ⟨hal-02476957⟩
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