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Pré-Publication, Document De Travail 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 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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Dates et versions

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

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Jean Vallès. FREE DIVISORS IN A PENCIL OF CURVES. 2015. ⟨hal-01114265v1⟩
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