Splitting of low rank ACM bundles on hypersurfaces of high dimension

Published 8 Apr 2013 in math.AG | (1304.2135v2)

Abstract: 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 $X \geq 7$. We also find a splitting criterion for rank 4 arithmetically Cohen-Macaulay vector bundles on $X$ when dim $X \geq 9$.

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Authors (1)

Amit Tripathi

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