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Generic projections

Le : 03/06/2016 14h00
Par : Professeur Ziv Ran, UC at Riverside
Lieu : I001
Lien web :
Résumé : We study fibres of a generic projection of a smooth variety in projective space, in particular the locus of fibres of given length. In the case where the fibres have embedding dimension 2 or less, it is shown that the locus is smooth and has the expected dimension. This extends recent work by Gruson-Peskine (and many others).