2 citations · 2 across the 8 of their papers we have counts for
8 papers
Courbes elliptiques sur la variete spinorielle
Nicolas Perrin
Let V be an even dimensional vector space with a non degenerate quadratic form. We denote by X the variety of maximal isotropic subspaces in V (in fact one of its two connected com…
Courbes elliptiques sur la variete spinorielle de dimension 10
Nicolas Perrin
In this article we answer a question of D. Markushevich and prove the irreducibility of the scheme of morphisms from an elliptic curve to the spinor tenfold.
Quelques remarques sur les courbes de genre 5
Jean d'Almeida, Laurent Gruson, Nicolas Perrin
In this article we study genus 5 curves with a fixed point free involution. We give two geometrical caracterisations of these curves amoung all genus 5 curves. One of these was con…
Limites de fibres vectoriels dans
Nicolas Perrin
Let the smooth quadric in P^4 (the 4-dimensional projective space). In this note we completely describe the closure of the open set of vector bundles in ${\bf M}_{\m…
Deformation de fibres vectoriels sur les varietes lisses de dimension trois
Nicolas Perrin
Let X be a smooth 3-fold and let E be a rank 2 torsion free sheaf. In the first part of this paper, we give some necessary conditions for the sheaf E to be limit of vector bundles.…
Singular locus of rational ruled surfaces
Nicolas Perrin
We prove that the morphism that maps a rational ruled surface to its singular locus is genericaly injective modulo isomophism and duality. We also calculate the dimension and the d…