Splitting of low rank ACM bundles on hypersurfaces of high dimension
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:AV5DUFGWrecord.jsonopen to challenge →
classification
math.AG
keywords
rankarithmeticallybundlescohen-macaulaysplittingvectorwhenbundle
read the original 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 $X \geq 9$.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.