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Pré-Publication, Document De Travail Année : 2019

Pencils and critical locus on normal surfaces

Résumé

We study linear pencils of curves on normal surface singularities. Using the minimal good resolution of the pencil, we describe the topological type of generic elements of the pencil and characterize the behaviour of special elements. Then we show that the critical locus associated to the pencil is linked to the special elements. This gives a decomposition of the critical locus through the minimal good resolution and as a consequence, information on the topological type of the critical locus.
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Dates et versions

hal-01996488 , version 1 (28-01-2019)

Identifiants

  • HAL Id : hal-01996488 , version 1

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Félix Delgado, Hélène Maugendre. Pencils and critical locus on normal surfaces. 2019. ⟨hal-01996488⟩
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