ACM bundles on a general quintic threefold

Abstract

We give a partial positive answer to a conjecture of Tyurin (\cite {Tyu}). Indeed we prove that on a general quintic hypersurface of $\Pj^4$ every arithmetically Cohen--Macaulay rank 2 vector bundle is infinitesimally rigid.

References in corpus (2)

• The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold
• A splitting criterion for rank 2 vector bundles on hypersurfaces in P^4