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Article Dans Une Revue Journal of Singularities Année : 2016

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.
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Dates et versions

hal-01114265 , version 1 (09-02-2015)
hal-01114265 , version 2 (12-01-2016)

Identifiants

Citer

Jean Vallès. FREE DIVISORS IN A PENCIL OF CURVES. Journal of Singularities, 2016, 14, pp.1-2. ⟨10.5427/jsing.2016.14a⟩. ⟨hal-01114265v2⟩
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