We prove a global uniform Artin–Rees lemma type theorem for sections of ample line bundles over smooth projective varieties. This result is used to prove an Artin–Rees lemma for the polynomial ring with uniform degree bounds. The proof is based on multidimensional residue calculus.
CITATION STYLE
Lundqvist, J. (2017). An effective uniform Artin–Rees lemma. In Trends in Mathematics (pp. 335–348). Springer International Publishing. https://doi.org/10.1007/978-3-319-52471-9_20
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