6 papers
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…
Courbes rationnelles sur les variétés homogènes et une désingularisation plus fine des variétés de Schubert
Nicolas Perrin
In this article we prove the irreducibility of the Hilbert scheme of rationnal curves on homogeneous varieties with fixed class in the Chow ring. This result has also been proved b…