Torsion of a finite base locus - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2018

Torsion of a finite base locus

Résumé

We interpret geometrically the torsion of the symmetric algebra of the ideal sheaf of a zero-dimensional scheme Z defined by n + 1 equations in an n-dimensional variety. This leads us to generalise a formula of A.Dimca and S.Papadima in positive characteristic for a rational transformation with finite base locus. Among other applications, we construct an explicit example of a homaloidal curve of degree 5 in characteristic 3, answering negatively a question of A.V.Dória, S.H.Hassanzadeh and A.Simis.
Fichier principal
Vignette du fichier
torBaseLocus.pdf (278.69 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01806603 , version 1 (03-06-2018)

Identifiants

  • HAL Id : hal-01806603 , version 1

Citer

Rémi Bignalet-Cazalet. Torsion of a finite base locus. 2018. ⟨hal-01806603⟩
77 Consultations
31 Téléchargements

Partager

More