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Existence of unimodular element in a projective module over symbolic Rees algebras

Published 13 Jan 2023 in math.AC | (2301.05394v1)

Abstract: Let $A$ be a symbolic (or an extended symbolic) Rees algebra (need not be Noetherian) of dimension $d$. Let $P$ be a finitely generated projective $A$-module of rank $\geq$ $d$. Then P has a unimodular element. This improves the classical result of Serre for the mentioned class of algebras.

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