Espace des modules des faisceaux semi-stables de rang 2 et de classes de Chern $c_1=0$, $c_2=2$ et $c_3=0$ sur une hypersurface cubique lisse de ${\mathbb{P}}^4$

Abstract

In this note we study the moduli space of rank two semistable sheaves on a smooth cubic hypersurface $X\subset {\mathbb{P}}^4$ with $c_1=0$, $c_2=2$ and $c_3=0$. We show that it is isomorphic to the blow-up of the intermediate jacobian $J(X)$ of $X$ along the Fano surface of $X$. We complete previous results of Iliev-Markushevich AG/9910058 and Markushevich-Tikhomirov AG/9910063.

12 pages, French, to appear in IMRN