2013/04/08 by Amit Tripathi, Tripathi, Amit · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.1304.2135
Let X be a smooth projective hypersurface. In this note we show that any rank 3 arithmetically Cohen-Macaulay vector bundle over X splits when dim X ≥ 7. We also find a splitting criterion for rank 4 arithmetically Cohen-Macaulay vector bundles on X when dim X ≥ 9.