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arXiv · 1304.2135

Splitting of low rank ACM bundles on hypersurfaces of high dimension

Amit Tripathi
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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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Amit Tripathi. 2013-04-08. Splitting of low rank ACM bundles on hypersurfaces of high dimension. https://arxiv.org/abs/1304.2135

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