ACM bundles on a general quintic threefold

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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.

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