Abstract
Let X ⊂ P r be a smooth projective variety embedded by the complete linear system associated to a very ample line bundle L on X. In this paper, we prove that if X satisfies property N p for p ⩾ 1 , then every isomorphic inner projection X ˜ ⊂ P r − 1 of X satisfies N p − 1 . We also give some applications of our results to various examples.
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